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Finding the Fourth Proportional to 430,159.20, 644,655.60 and 287,599.20

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Solution

The fourth proportional to 430,159.20, 644,655.60 and 287,599.20 is: 431,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,159.20 : 644,655.60 = 287,599.20 : x
  2. Step 2: Convert to fraction form
    430,159.20/644,655.60 = 287,599.20/x
  3. Step 3: Cross multiply
    430,159.20x = 644,655.60 × 287,599.20
  4. Step 4: Simplify right side
    430,159.20x = 185,402,434,835.52
  5. Step 5: Solve for x
    x = 185,402,434,835.52/430,159.20
  6. Step 6: Final answer
    x = 431,008.88

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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.