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Finding the Fourth Proportional to 657,897, 907,905.51 and 385,969.56

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Solution

The fourth proportional to 657,897, 907,905.51 and 385,969.56 is: 532,642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,897 : 907,905.51 = 385,969.56 : x
  2. Step 2: Convert to fraction form
    657,897/907,905.51 = 385,969.56/x
  3. Step 3: Cross multiply
    657,897x = 907,905.51 × 385,969.56
  4. Step 4: Simplify right side
    657,897x = 350,423,890,216.28
  5. Step 5: Solve for x
    x = 350,423,890,216.28/657,897
  6. Step 6: Final answer
    x = 532,642.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.