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Finding the Fourth Proportional to 380,953.80, 571,510.62 and 144,291.24

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Solution

The fourth proportional to 380,953.80, 571,510.62 and 144,291.24 is: 216,467.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,953.80 : 571,510.62 = 144,291.24 : x
  2. Step 2: Convert to fraction form
    380,953.80/571,510.62 = 144,291.24/x
  3. Step 3: Cross multiply
    380,953.80x = 571,510.62 × 144,291.24
  4. Step 4: Simplify right side
    380,953.80x = 82,463,976,032.97
  5. Step 5: Solve for x
    x = 82,463,976,032.97/380,953.80
  6. Step 6: Final answer
    x = 216,467.13

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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.