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Finding the Fourth Proportional to 288,567.48, 432,263.22 and 138,349.80

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Solution

The fourth proportional to 288,567.48, 432,263.22 and 138,349.80 is: 207,242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,567.48 : 432,263.22 = 138,349.80 : x
  2. Step 2: Convert to fraction form
    288,567.48/432,263.22 = 138,349.80/x
  3. Step 3: Cross multiply
    288,567.48x = 432,263.22 × 138,349.80
  4. Step 4: Simplify right side
    288,567.48x = 59,803,530,034.36
  5. Step 5: Solve for x
    x = 59,803,530,034.36/288,567.48
  6. Step 6: Final answer
    x = 207,242.79

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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.