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Finding the Fourth Proportional to 416,165.40, 624,248.10 and 402,387.30

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Solution

The fourth proportional to 416,165.40, 624,248.10 and 402,387.30 is: 603,580.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,165.40 : 624,248.10 = 402,387.30 : x
  2. Step 2: Convert to fraction form
    416,165.40/624,248.10 = 402,387.30/x
  3. Step 3: Cross multiply
    416,165.40x = 624,248.10 × 402,387.30
  4. Step 4: Simplify right side
    416,165.40x = 251,189,507,489.13
  5. Step 5: Solve for x
    x = 251,189,507,489.13/416,165.40
  6. Step 6: Final answer
    x = 603,580.95

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1.5x scale

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.