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Finding the Fourth Proportional to 381,750.84, 572,400 and 145,109.16

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Solution

The fourth proportional to 381,750.84, 572,400 and 145,109.16 is: 217,577.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,750.84 : 572,400 = 145,109.16 : x
  2. Step 2: Convert to fraction form
    381,750.84/572,400 = 145,109.16/x
  3. Step 3: Cross multiply
    381,750.84x = 572,400 × 145,109.16
  4. Step 4: Simplify right side
    381,750.84x = 83,060,483,184
  5. Step 5: Solve for x
    x = 83,060,483,184/381,750.84
  6. Step 6: Final answer
    x = 217,577.74

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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.