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Finding the Fourth Proportional to 286,539.20, 429,808.80 and 137,071.42

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Solution

The fourth proportional to 286,539.20, 429,808.80 and 137,071.42 is: 205,607.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,539.20 : 429,808.80 = 137,071.42 : x
  2. Step 2: Convert to fraction form
    286,539.20/429,808.80 = 137,071.42/x
  3. Step 3: Cross multiply
    286,539.20x = 429,808.80 × 137,071.42
  4. Step 4: Simplify right side
    286,539.20x = 58,914,502,544.50
  5. Step 5: Solve for x
    x = 58,914,502,544.50/286,539.20
  6. Step 6: Final answer
    x = 205,607.13

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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.