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Finding the Fourth Proportional to 610,717.40, 916,076.10 and 512,739.80

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Solution

The fourth proportional to 610,717.40, 916,076.10 and 512,739.80 is: 769,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,717.40 : 916,076.10 = 512,739.80 : x
  2. Step 2: Convert to fraction form
    610,717.40/916,076.10 = 512,739.80/x
  3. Step 3: Cross multiply
    610,717.40x = 916,076.10 × 512,739.80
  4. Step 4: Simplify right side
    610,717.40x = 469,708,676,298.78
  5. Step 5: Solve for x
    x = 469,708,676,298.78/610,717.40
  6. Step 6: Final answer
    x = 769,109.70

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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.