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Finding the Fourth Proportional to 509,638.16, 764,461.85 and 154,652.18

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Solution

The fourth proportional to 509,638.16, 764,461.85 and 154,652.18 is: 231,979.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,638.16 : 764,461.85 = 154,652.18 : x
  2. Step 2: Convert to fraction form
    509,638.16/764,461.85 = 154,652.18/x
  3. Step 3: Cross multiply
    509,638.16x = 764,461.85 × 154,652.18
  4. Step 4: Simplify right side
    509,638.16x = 118,225,687,033.76
  5. Step 5: Solve for x
    x = 118,225,687,033.76/509,638.16
  6. Step 6: Final answer
    x = 231,979.66

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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.