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Finding the Fourth Proportional to 530,473.26, 732,062.46 and 288,762.78

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Solution

The fourth proportional to 530,473.26, 732,062.46 and 288,762.78 is: 398,497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,473.26 : 732,062.46 = 288,762.78 : x
  2. Step 2: Convert to fraction form
    530,473.26/732,062.46 = 288,762.78/x
  3. Step 3: Cross multiply
    530,473.26x = 732,062.46 × 288,762.78
  4. Step 4: Simplify right side
    530,473.26x = 211,392,391,083.24
  5. Step 5: Solve for x
    x = 211,392,391,083.24/530,473.26
  6. Step 6: Final answer
    x = 398,497.73

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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.