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Finding the Fourth Proportional to 429,765.60, 644,648.40 and 130,231.20

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Solution

The fourth proportional to 429,765.60, 644,648.40 and 130,231.20 is: 195,346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,765.60 : 644,648.40 = 130,231.20 : x
  2. Step 2: Convert to fraction form
    429,765.60/644,648.40 = 130,231.20/x
  3. Step 3: Cross multiply
    429,765.60x = 644,648.40 × 130,231.20
  4. Step 4: Simplify right side
    429,765.60x = 83,953,334,710.08
  5. Step 5: Solve for x
    x = 83,953,334,710.08/429,765.60
  6. Step 6: Final answer
    x = 195,346.80

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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.