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Finding the Fourth Proportional to 292,011.73, 438,031.94 and 142,379.92

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Solution

The fourth proportional to 292,011.73, 438,031.94 and 142,379.92 is: 213,576.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,011.73 : 438,031.94 = 142,379.92 : x
  2. Step 2: Convert to fraction form
    292,011.73/438,031.94 = 142,379.92/x
  3. Step 3: Cross multiply
    292,011.73x = 438,031.94 × 142,379.92
  4. Step 4: Simplify right side
    292,011.73x = 62,366,950,767.67
  5. Step 5: Solve for x
    x = 62,366,950,767.67/292,011.73
  6. Step 6: Final answer
    x = 213,576.87

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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.