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Finding the Fourth Proportional to 287,011.52, 430,238.16 and 137,213

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Solution

The fourth proportional to 287,011.52, 430,238.16 and 137,213 is: 205,686.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,011.52 : 430,238.16 = 137,213 : x
  2. Step 2: Convert to fraction form
    287,011.52/430,238.16 = 137,213/x
  3. Step 3: Cross multiply
    287,011.52x = 430,238.16 × 137,213
  4. Step 4: Simplify right side
    287,011.52x = 59,034,268,648.08
  5. Step 5: Solve for x
    x = 59,034,268,648.08/287,011.52
  6. Step 6: Final answer
    x = 205,686.06

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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.