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Finding the Fourth Proportional to 458,468,642.60, 687,702,963.90 and 416,142,319.40

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Solution

The fourth proportional to 458,468,642.60, 687,702,963.90 and 416,142,319.40 is: 624,213,479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,468,642.60 : 687,702,963.90 = 416,142,319.40 : x
  2. Step 2: Convert to fraction form
    458,468,642.60/687,702,963.90 = 416,142,319.40/x
  3. Step 3: Cross multiply
    458,468,642.60x = 687,702,963.90 × 416,142,319.40
  4. Step 4: Simplify right side
    458,468,642.60x = 286,182,306,455,600,448
  5. Step 5: Solve for x
    x = 286,182,306,455,600,448/458,468,642.60
  6. Step 6: Final answer
    x = 624,213,479.10

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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.