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Finding the Fourth Proportional to 287,053.98, 430,301.66 and 137,255.42

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Solution

The fourth proportional to 287,053.98, 430,301.66 and 137,255.42 is: 205,749.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,053.98 : 430,301.66 = 137,255.42 : x
  2. Step 2: Convert to fraction form
    287,053.98/430,301.66 = 137,255.42/x
  3. Step 3: Cross multiply
    287,053.98x = 430,301.66 × 137,255.42
  4. Step 4: Simplify right side
    287,053.98x = 59,061,235,070.00
  5. Step 5: Solve for x
    x = 59,061,235,070.00/287,053.98
  6. Step 6: Final answer
    x = 205,749.58

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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.