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Finding the Fourth Proportional to 381,909.32, 572,864.73 and 142,075.81

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Solution

The fourth proportional to 381,909.32, 572,864.73 and 142,075.81 is: 213,113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,909.32 : 572,864.73 = 142,075.81 : x
  2. Step 2: Convert to fraction form
    381,909.32/572,864.73 = 142,075.81/x
  3. Step 3: Cross multiply
    381,909.32x = 572,864.73 × 142,075.81
  4. Step 4: Simplify right side
    381,909.32x = 81,390,220,535.18
  5. Step 5: Solve for x
    x = 81,390,220,535.18/381,909.32
  6. Step 6: Final answer
    x = 213,113.99

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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.