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Finding the Fourth Proportional to 658,137.40, 987,206.10 and 429,814.60

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Solution

The fourth proportional to 658,137.40, 987,206.10 and 429,814.60 is: 644,721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,137.40 : 987,206.10 = 429,814.60 : x
  2. Step 2: Convert to fraction form
    658,137.40/987,206.10 = 429,814.60/x
  3. Step 3: Cross multiply
    658,137.40x = 987,206.10 × 429,814.60
  4. Step 4: Simplify right side
    658,137.40x = 424,315,594,989.06
  5. Step 5: Solve for x
    x = 424,315,594,989.06/658,137.40
  6. Step 6: Final answer
    x = 644,721.90

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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.