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Finding the Fourth Proportional to 430,699.20, 644,468.64 and 359,445.76

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Solution

The fourth proportional to 430,699.20, 644,468.64 and 359,445.76 is: 537,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,699.20 : 644,468.64 = 359,445.76 : x
  2. Step 2: Convert to fraction form
    430,699.20/644,468.64 = 359,445.76/x
  3. Step 3: Cross multiply
    430,699.20x = 644,468.64 × 359,445.76
  4. Step 4: Simplify right side
    430,699.20x = 231,651,520,100.97
  5. Step 5: Solve for x
    x = 231,651,520,100.97/430,699.20
  6. Step 6: Final answer
    x = 537,849.90

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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.