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Finding the Fourth Proportional to 458,423.42, 687,479.40 and 158,834.07

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Solution

The fourth proportional to 458,423.42, 687,479.40 and 158,834.07 is: 238,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,423.42 : 687,479.40 = 158,834.07 : x
  2. Step 2: Convert to fraction form
    458,423.42/687,479.40 = 158,834.07/x
  3. Step 3: Cross multiply
    458,423.42x = 687,479.40 × 158,834.07
  4. Step 4: Simplify right side
    458,423.42x = 109,195,151,143.16
  5. Step 5: Solve for x
    x = 109,195,151,143.16/458,423.42
  6. Step 6: Final answer
    x = 238,197.15

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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.