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Finding the Fourth Proportional to 288,583.76, 432,498.15 and 155,176.76

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Solution

The fourth proportional to 288,583.76, 432,498.15 and 155,176.76 is: 232,562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,583.76 : 432,498.15 = 155,176.76 : x
  2. Step 2: Convert to fraction form
    288,583.76/432,498.15 = 155,176.76/x
  3. Step 3: Cross multiply
    288,583.76x = 432,498.15 × 155,176.76
  4. Step 4: Simplify right side
    288,583.76x = 67,113,662,704.24
  5. Step 5: Solve for x
    x = 67,113,662,704.24/288,583.76
  6. Step 6: Final answer
    x = 232,562.16

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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.