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Finding the Fourth Proportional to 1,315,755,362.62, 1,972,237,373.43 and 615,657,646.54

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Solution

The fourth proportional to 1,315,755,362.62, 1,972,237,373.43 and 615,657,646.54 is: 922,833,418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315,755,362.62 : 1,972,237,373.43 = 615,657,646.54 : x
  2. Step 2: Convert to fraction form
    1,315,755,362.62/1,972,237,373.43 = 615,657,646.54/x
  3. Step 3: Cross multiply
    1,315,755,362.62x = 1,972,237,373.43 × 615,657,646.54
  4. Step 4: Simplify right side
    1,315,755,362.62x = 1,214,223,019,744,144,896
  5. Step 5: Solve for x
    x = 1,214,223,019,744,144,896/1,315,755,362.62
  6. Step 6: Final answer
    x = 922,833,418.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.