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Finding the Fourth Proportional to 438,428.30, 614,421.70 and 438,428.30

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Solution

The fourth proportional to 438,428.30, 614,421.70 and 438,428.30 is: 614,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,428.30 : 614,421.70 = 438,428.30 : x
  2. Step 2: Convert to fraction form
    438,428.30/614,421.70 = 438,428.30/x
  3. Step 3: Cross multiply
    438,428.30x = 614,421.70 × 438,428.30
  4. Step 4: Simplify right side
    438,428.30x = 269,379,861,414.11
  5. Step 5: Solve for x
    x = 269,379,861,414.11/438,428.30
  6. Step 6: Final answer
    x = 614,421.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.