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Finding the Fourth Proportional to 380,752.23, 571,129.71 and 96,442.65

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Solution

The fourth proportional to 380,752.23, 571,129.71 and 96,442.65 is: 144,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,752.23 : 571,129.71 = 96,442.65 : x
  2. Step 2: Convert to fraction form
    380,752.23/571,129.71 = 96,442.65/x
  3. Step 3: Cross multiply
    380,752.23x = 571,129.71 × 96,442.65
  4. Step 4: Simplify right side
    380,752.23x = 55,081,262,726.13
  5. Step 5: Solve for x
    x = 55,081,262,726.13/380,752.23
  6. Step 6: Final answer
    x = 144,664.32

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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.