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Finding the Fourth Proportional to 287,011.68, 430,368.34 and 84,581.24

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Solution

The fourth proportional to 287,011.68, 430,368.34 and 84,581.24 is: 126,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,011.68 : 430,368.34 = 84,581.24 : x
  2. Step 2: Convert to fraction form
    287,011.68/430,368.34 = 84,581.24/x
  3. Step 3: Cross multiply
    287,011.68x = 430,368.34 × 84,581.24
  4. Step 4: Simplify right side
    287,011.68x = 36,401,087,853.94
  5. Step 5: Solve for x
    x = 36,401,087,853.94/287,011.68
  6. Step 6: Final answer
    x = 126,827.90

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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.