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Finding the Fourth Proportional to 381,393.04, 571,980.48 and 153,688

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Solution

The fourth proportional to 381,393.04, 571,980.48 and 153,688 is: 230,488.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,393.04 : 571,980.48 = 153,688 : x
  2. Step 2: Convert to fraction form
    381,393.04/571,980.48 = 153,688/x
  3. Step 3: Cross multiply
    381,393.04x = 571,980.48 × 153,688
  4. Step 4: Simplify right side
    381,393.04x = 87,906,536,010.24
  5. Step 5: Solve for x
    x = 87,906,536,010.24/381,393.04
  6. Step 6: Final answer
    x = 230,488.04

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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.