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Finding the Fourth Proportional to 458,532.60, 688,317.30 and 353,815.80

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Solution

The fourth proportional to 458,532.60, 688,317.30 and 353,815.80 is: 531,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,532.60 : 688,317.30 = 353,815.80 : x
  2. Step 2: Convert to fraction form
    458,532.60/688,317.30 = 353,815.80/x
  3. Step 3: Cross multiply
    458,532.60x = 688,317.30 × 353,815.80
  4. Step 4: Simplify right side
    458,532.60x = 243,537,536,153.34
  5. Step 5: Solve for x
    x = 243,537,536,153.34/458,532.60
  6. Step 6: Final answer
    x = 531,123.71

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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.