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Finding the Fourth Proportional to 381,892.35, 572,921.16 and 145,239.51

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Solution

The fourth proportional to 381,892.35, 572,921.16 and 145,239.51 is: 217,890.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,892.35 : 572,921.16 = 145,239.51 : x
  2. Step 2: Convert to fraction form
    381,892.35/572,921.16 = 145,239.51/x
  3. Step 3: Cross multiply
    381,892.35x = 572,921.16 × 145,239.51
  4. Step 4: Simplify right side
    381,892.35x = 83,210,788,547.03
  5. Step 5: Solve for x
    x = 83,210,788,547.03/381,892.35
  6. Step 6: Final answer
    x = 217,890.69

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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.