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Finding the Fourth Proportional to 438,470.60, 657,705.90 and 318,914.60

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Solution

The fourth proportional to 438,470.60, 657,705.90 and 318,914.60 is: 478,371.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,470.60 : 657,705.90 = 318,914.60 : x
  2. Step 2: Convert to fraction form
    438,470.60/657,705.90 = 318,914.60/x
  3. Step 3: Cross multiply
    438,470.60x = 657,705.90 × 318,914.60
  4. Step 4: Simplify right side
    438,470.60x = 209,752,014,016.14
  5. Step 5: Solve for x
    x = 209,752,014,016.14/438,470.60
  6. Step 6: Final answer
    x = 478,371.90

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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.