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Finding the Fourth Proportional to 286,641.18, 429,970.82 and 73,410.44

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Solution

The fourth proportional to 286,641.18, 429,970.82 and 73,410.44 is: 110,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,641.18 : 429,970.82 = 73,410.44 : x
  2. Step 2: Convert to fraction form
    286,641.18/429,970.82 = 73,410.44/x
  3. Step 3: Cross multiply
    286,641.18x = 429,970.82 × 73,410.44
  4. Step 4: Simplify right side
    286,641.18x = 31,564,344,566.45
  5. Step 5: Solve for x
    x = 31,564,344,566.45/286,641.18
  6. Step 6: Final answer
    x = 110,117.97

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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.