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Finding the Fourth Proportional to 472,915.70, 709,373.55 and 465,139.70

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Solution

The fourth proportional to 472,915.70, 709,373.55 and 465,139.70 is: 697,709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,915.70 : 709,373.55 = 465,139.70 : x
  2. Step 2: Convert to fraction form
    472,915.70/709,373.55 = 465,139.70/x
  3. Step 3: Cross multiply
    472,915.70x = 709,373.55 × 465,139.70
  4. Step 4: Simplify right side
    472,915.70x = 329,957,800,234.94
  5. Step 5: Solve for x
    x = 329,957,800,234.94/472,915.70
  6. Step 6: Final answer
    x = 697,709.55

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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.