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Finding the Fourth Proportional to 545,053.32, 817,689.33 and 189,972

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Solution

The fourth proportional to 545,053.32, 817,689.33 and 189,972 is: 284,996.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,053.32 : 817,689.33 = 189,972 : x
  2. Step 2: Convert to fraction form
    545,053.32/817,689.33 = 189,972/x
  3. Step 3: Cross multiply
    545,053.32x = 817,689.33 × 189,972
  4. Step 4: Simplify right side
    545,053.32x = 155,338,077,398.76
  5. Step 5: Solve for x
    x = 155,338,077,398.76/545,053.32
  6. Step 6: Final answer
    x = 284,996.11

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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.