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Finding the Fourth Proportional to 285,186.38, 427,631.90 and 152,030.88

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Solution

The fourth proportional to 285,186.38, 427,631.90 and 152,030.88 is: 227,967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,186.38 : 427,631.90 = 152,030.88 : x
  2. Step 2: Convert to fraction form
    285,186.38/427,631.90 = 152,030.88/x
  3. Step 3: Cross multiply
    285,186.38x = 427,631.90 × 152,030.88
  4. Step 4: Simplify right side
    285,186.38x = 65,013,254,073.07
  5. Step 5: Solve for x
    x = 65,013,254,073.07/285,186.38
  6. Step 6: Final answer
    x = 227,967.60

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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.