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Finding the Fourth Proportional to 458,376.39, 688,685.49 and 432,883.80

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Solution

The fourth proportional to 458,376.39, 688,685.49 and 432,883.80 is: 650,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,376.39 : 688,685.49 = 432,883.80 : x
  2. Step 2: Convert to fraction form
    458,376.39/688,685.49 = 432,883.80/x
  3. Step 3: Cross multiply
    458,376.39x = 688,685.49 × 432,883.80
  4. Step 4: Simplify right side
    458,376.39x = 298,120,791,916.06
  5. Step 5: Solve for x
    x = 298,120,791,916.06/458,376.39
  6. Step 6: Final answer
    x = 650,384.27

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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.