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Finding the Fourth Proportional to 530,470.26, 732,058.30 and 288,759.78

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Solution

The fourth proportional to 530,470.26, 732,058.30 and 288,759.78 is: 398,493.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,470.26 : 732,058.30 = 288,759.78 : x
  2. Step 2: Convert to fraction form
    530,470.26/732,058.30 = 288,759.78/x
  3. Step 3: Cross multiply
    530,470.26x = 732,058.30 × 288,759.78
  4. Step 4: Simplify right side
    530,470.26x = 211,388,993,655.17
  5. Step 5: Solve for x
    x = 211,388,993,655.17/530,470.26
  6. Step 6: Final answer
    x = 398,493.58

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1.5x scale

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.