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Finding the Fourth Proportional to 565,193.73, 779,967.17 and 310,561.32

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Solution

The fourth proportional to 565,193.73, 779,967.17 and 310,561.32 is: 428,574.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,193.73 : 779,967.17 = 310,561.32 : x
  2. Step 2: Convert to fraction form
    565,193.73/779,967.17 = 310,561.32/x
  3. Step 3: Cross multiply
    565,193.73x = 779,967.17 × 310,561.32
  4. Step 4: Simplify right side
    565,193.73x = 242,227,638,155.45
  5. Step 5: Solve for x
    x = 242,227,638,155.45/565,193.73
  6. Step 6: Final answer
    x = 428,574.53

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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.