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Finding the Fourth Proportional to 458,531.60, 688,315.80 and 353,814.80

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Solution

The fourth proportional to 458,531.60, 688,315.80 and 353,814.80 is: 531,122.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,531.60 : 688,315.80 = 353,814.80 : x
  2. Step 2: Convert to fraction form
    458,531.60/688,315.80 = 353,814.80/x
  3. Step 3: Cross multiply
    458,531.60x = 688,315.80 × 353,814.80
  4. Step 4: Simplify right side
    458,531.60x = 243,536,317,113.84
  5. Step 5: Solve for x
    x = 243,536,317,113.84/458,531.60
  6. Step 6: Final answer
    x = 531,122.21

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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.