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Finding the Fourth Proportional to 288,541.80, 432,812.70 and 155,681.55

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Solution

The fourth proportional to 288,541.80, 432,812.70 and 155,681.55 is: 233,522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,541.80 : 432,812.70 = 155,681.55 : x
  2. Step 2: Convert to fraction form
    288,541.80/432,812.70 = 155,681.55/x
  3. Step 3: Cross multiply
    288,541.80x = 432,812.70 × 155,681.55
  4. Step 4: Simplify right side
    288,541.80x = 67,380,951,995.69
  5. Step 5: Solve for x
    x = 67,380,951,995.69/288,541.80
  6. Step 6: Final answer
    x = 233,522.33

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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.