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Finding the Fourth Proportional to 458,890.48, 688,264.64 and 234,416.80

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Solution

The fourth proportional to 458,890.48, 688,264.64 and 234,416.80 is: 351,588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,890.48 : 688,264.64 = 234,416.80 : x
  2. Step 2: Convert to fraction form
    458,890.48/688,264.64 = 234,416.80/x
  3. Step 3: Cross multiply
    458,890.48x = 688,264.64 × 234,416.80
  4. Step 4: Simplify right side
    458,890.48x = 161,340,791,569.21
  5. Step 5: Solve for x
    x = 161,340,791,569.21/458,890.48
  6. Step 6: Final answer
    x = 351,588.89

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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.