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Finding the Fourth Proportional to 777,762, 1,073,312.17 and 420,066

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Solution

The fourth proportional to 777,762, 1,073,312.17 and 420,066 is: 579,691.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,762 : 1,073,312.17 = 420,066 : x
  2. Step 2: Convert to fraction form
    777,762/1,073,312.17 = 420,066/x
  3. Step 3: Cross multiply
    777,762x = 1,073,312.17 × 420,066
  4. Step 4: Simplify right side
    777,762x = 450,861,948,953.06
  5. Step 5: Solve for x
    x = 450,861,948,953.06/777,762
  6. Step 6: Final answer
    x = 579,691.41

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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.