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Finding the Fourth Proportional to 389,597.10, 584,159.12 and 152,655.90

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Solution

The fourth proportional to 389,597.10, 584,159.12 and 152,655.90 is: 228,891.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,597.10 : 584,159.12 = 152,655.90 : x
  2. Step 2: Convert to fraction form
    389,597.10/584,159.12 = 152,655.90/x
  3. Step 3: Cross multiply
    389,597.10x = 584,159.12 × 152,655.90
  4. Step 4: Simplify right side
    389,597.10x = 89,175,336,206.81
  5. Step 5: Solve for x
    x = 89,175,336,206.81/389,597.10
  6. Step 6: Final answer
    x = 228,891.17

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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.