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Finding the Fourth Proportional to 286,444.20, 429,841.80 and 118,045.20

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Solution

The fourth proportional to 286,444.20, 429,841.80 and 118,045.20 is: 177,140.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,444.20 : 429,841.80 = 118,045.20 : x
  2. Step 2: Convert to fraction form
    286,444.20/429,841.80 = 118,045.20/x
  3. Step 3: Cross multiply
    286,444.20x = 429,841.80 × 118,045.20
  4. Step 4: Simplify right side
    286,444.20x = 50,740,761,249.36
  5. Step 5: Solve for x
    x = 50,740,761,249.36/286,444.20
  6. Step 6: Final answer
    x = 177,140.12

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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.