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Finding the Fourth Proportional to 288,669.71, 433,010.03 and 99,128.90

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Solution

The fourth proportional to 288,669.71, 433,010.03 and 99,128.90 is: 148,695.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,669.71 : 433,010.03 = 99,128.90 : x
  2. Step 2: Convert to fraction form
    288,669.71/433,010.03 = 99,128.90/x
  3. Step 3: Cross multiply
    288,669.71x = 433,010.03 × 99,128.90
  4. Step 4: Simplify right side
    288,669.71x = 42,923,805,302.17
  5. Step 5: Solve for x
    x = 42,923,805,302.17/288,669.71
  6. Step 6: Final answer
    x = 148,695.22

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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.