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Finding the Fourth Proportional to 652,891.79, 901,565.24 and 408,295.89

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Solution

The fourth proportional to 652,891.79, 901,565.24 and 408,295.89 is: 563,807.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,891.79 : 901,565.24 = 408,295.89 : x
  2. Step 2: Convert to fraction form
    652,891.79/901,565.24 = 408,295.89/x
  3. Step 3: Cross multiply
    652,891.79x = 901,565.24 × 408,295.89
  4. Step 4: Simplify right side
    652,891.79x = 368,105,380,017.38
  5. Step 5: Solve for x
    x = 368,105,380,017.38/652,891.79
  6. Step 6: Final answer
    x = 563,807.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.