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Finding the Fourth Proportional to 458,149.91, 686,948.76 and 205,384.66

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Solution

The fourth proportional to 458,149.91, 686,948.76 and 205,384.66 is: 307,953.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,149.91 : 686,948.76 = 205,384.66 : x
  2. Step 2: Convert to fraction form
    458,149.91/686,948.76 = 205,384.66/x
  3. Step 3: Cross multiply
    458,149.91x = 686,948.76 × 205,384.66
  4. Step 4: Simplify right side
    458,149.91x = 141,088,735,792.65
  5. Step 5: Solve for x
    x = 141,088,735,792.65/458,149.91
  6. Step 6: Final answer
    x = 307,953.21

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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.