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Finding the Fourth Proportional to 438,470.20, 657,705.30 and 420,038.20

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Solution

The fourth proportional to 438,470.20, 657,705.30 and 420,038.20 is: 630,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,470.20 : 657,705.30 = 420,038.20 : x
  2. Step 2: Convert to fraction form
    438,470.20/657,705.30 = 420,038.20/x
  3. Step 3: Cross multiply
    438,470.20x = 657,705.30 × 420,038.20
  4. Step 4: Simplify right side
    438,470.20x = 276,261,350,342.46
  5. Step 5: Solve for x
    x = 276,261,350,342.46/438,470.20
  6. Step 6: Final answer
    x = 630,057.30

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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.