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Finding the Fourth Proportional to 502,516.40, 705,389.20 and 502,516.40

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Solution

The fourth proportional to 502,516.40, 705,389.20 and 502,516.40 is: 705,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,516.40 : 705,389.20 = 502,516.40 : x
  2. Step 2: Convert to fraction form
    502,516.40/705,389.20 = 502,516.40/x
  3. Step 3: Cross multiply
    502,516.40x = 705,389.20 × 502,516.40
  4. Step 4: Simplify right side
    502,516.40x = 354,469,641,382.88
  5. Step 5: Solve for x
    x = 354,469,641,382.88/502,516.40
  6. Step 6: Final answer
    x = 705,389.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.