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Finding the Fourth Proportional to 612,658.67, 918,306.98 and 462,411.77

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Solution

The fourth proportional to 612,658.67, 918,306.98 and 462,411.77 is: 693,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,658.67 : 918,306.98 = 462,411.77 : x
  2. Step 2: Convert to fraction form
    612,658.67/918,306.98 = 462,411.77/x
  3. Step 3: Cross multiply
    612,658.67x = 918,306.98 × 462,411.77
  4. Step 4: Simplify right side
    612,658.67x = 424,635,949,121.56
  5. Step 5: Solve for x
    x = 424,635,949,121.56/612,658.67
  6. Step 6: Final answer
    x = 693,103.64

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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.