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Finding the Fourth Proportional to 286,385.10, 429,577.65 and 185,345.70

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Solution

The fourth proportional to 286,385.10, 429,577.65 and 185,345.70 is: 278,018.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,385.10 : 429,577.65 = 185,345.70 : x
  2. Step 2: Convert to fraction form
    286,385.10/429,577.65 = 185,345.70/x
  3. Step 3: Cross multiply
    286,385.10x = 429,577.65 × 185,345.70
  4. Step 4: Simplify right side
    286,385.10x = 79,620,370,243.61
  5. Step 5: Solve for x
    x = 79,620,370,243.61/286,385.10
  6. Step 6: Final answer
    x = 278,018.55

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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.