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Finding the Fourth Proportional to 438,432.80, 614,428 and 438,432.80

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Solution

The fourth proportional to 438,432.80, 614,428 and 438,432.80 is: 614,428

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,432.80 : 614,428 = 438,432.80 : x
  2. Step 2: Convert to fraction form
    438,432.80/614,428 = 438,432.80/x
  3. Step 3: Cross multiply
    438,432.80x = 614,428 × 438,432.80
  4. Step 4: Simplify right side
    438,432.80x = 269,385,388,438.40
  5. Step 5: Solve for x
    x = 269,385,388,438.40/438,432.80
  6. Step 6: Final answer
    x = 614,428

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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.