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Finding the Fourth Proportional to 517,423.65, 775,673.78 and 201,807.15

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Solution

The fourth proportional to 517,423.65, 775,673.78 and 201,807.15 is: 302,530.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,423.65 : 775,673.78 = 201,807.15 : x
  2. Step 2: Convert to fraction form
    517,423.65/775,673.78 = 201,807.15/x
  3. Step 3: Cross multiply
    517,423.65x = 775,673.78 × 201,807.15
  4. Step 4: Simplify right side
    517,423.65x = 156,536,513,862.49
  5. Step 5: Solve for x
    x = 156,536,513,862.49/517,423.65
  6. Step 6: Final answer
    x = 302,530.65

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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.