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Finding the Fourth Proportional to 610,296.42, 915,596.83 and 430,732.59

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Solution

The fourth proportional to 610,296.42, 915,596.83 and 430,732.59 is: 646,206.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,296.42 : 915,596.83 = 430,732.59 : x
  2. Step 2: Convert to fraction form
    610,296.42/915,596.83 = 430,732.59/x
  3. Step 3: Cross multiply
    610,296.42x = 915,596.83 × 430,732.59
  4. Step 4: Simplify right side
    610,296.42x = 394,377,391,086.62
  5. Step 5: Solve for x
    x = 394,377,391,086.62/610,296.42
  6. Step 6: Final answer
    x = 646,206.30

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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.