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Finding the Fourth Proportional to 610,715.40, 916,073.10 and 512,737.80

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Solution

The fourth proportional to 610,715.40, 916,073.10 and 512,737.80 is: 769,106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,715.40 : 916,073.10 = 512,737.80 : x
  2. Step 2: Convert to fraction form
    610,715.40/916,073.10 = 512,737.80/x
  3. Step 3: Cross multiply
    610,715.40x = 916,073.10 × 512,737.80
  4. Step 4: Simplify right side
    610,715.40x = 469,705,305,933.18
  5. Step 5: Solve for x
    x = 469,705,305,933.18/610,715.40
  6. Step 6: Final answer
    x = 769,106.70

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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.