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Finding the Fourth Proportional to 458,470.40, 687,705.60 and 358,937.60

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Solution

The fourth proportional to 458,470.40, 687,705.60 and 358,937.60 is: 538,406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,470.40 : 687,705.60 = 358,937.60 : x
  2. Step 2: Convert to fraction form
    458,470.40/687,705.60 = 358,937.60/x
  3. Step 3: Cross multiply
    458,470.40x = 687,705.60 × 358,937.60
  4. Step 4: Simplify right side
    458,470.40x = 246,843,397,570.56
  5. Step 5: Solve for x
    x = 246,843,397,570.56/458,470.40
  6. Step 6: Final answer
    x = 538,406.40

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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.