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Finding the Fourth Proportional to 402,769.60, 604,373.10 and 166,136.20

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Solution

The fourth proportional to 402,769.60, 604,373.10 and 166,136.20 is: 249,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,769.60 : 604,373.10 = 166,136.20 : x
  2. Step 2: Convert to fraction form
    402,769.60/604,373.10 = 166,136.20/x
  3. Step 3: Cross multiply
    402,769.60x = 604,373.10 × 166,136.20
  4. Step 4: Simplify right side
    402,769.60x = 100,408,250,216.22
  5. Step 5: Solve for x
    x = 100,408,250,216.22/402,769.60
  6. Step 6: Final answer
    x = 249,294.51

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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.