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Finding the Fourth Proportional to 771,421.60, 1,157,306.88 and 416,428

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Solution

The fourth proportional to 771,421.60, 1,157,306.88 and 416,428 is: 624,736.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,421.60 : 1,157,306.88 = 416,428 : x
  2. Step 2: Convert to fraction form
    771,421.60/1,157,306.88 = 416,428/x
  3. Step 3: Cross multiply
    771,421.60x = 1,157,306.88 × 416,428
  4. Step 4: Simplify right side
    771,421.60x = 481,934,989,424.64
  5. Step 5: Solve for x
    x = 481,934,989,424.64/771,421.60
  6. Step 6: Final answer
    x = 624,736.19

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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.