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Finding the Fourth Proportional to 652,282.10, 978,423.15 and 413,133.65

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Solution

The fourth proportional to 652,282.10, 978,423.15 and 413,133.65 is: 619,700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,282.10 : 978,423.15 = 413,133.65 : x
  2. Step 2: Convert to fraction form
    652,282.10/978,423.15 = 413,133.65/x
  3. Step 3: Cross multiply
    652,282.10x = 978,423.15 × 413,133.65
  4. Step 4: Simplify right side
    652,282.10x = 404,219,527,204.00
  5. Step 5: Solve for x
    x = 404,219,527,204.00/652,282.10
  6. Step 6: Final answer
    x = 619,700.48

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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.