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Finding the Fourth Proportional to 530,282.91, 731,805.80 and 288,581.07

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Solution

The fourth proportional to 530,282.91, 731,805.80 and 288,581.07 is: 398,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,282.91 : 731,805.80 = 288,581.07 : x
  2. Step 2: Convert to fraction form
    530,282.91/731,805.80 = 288,581.07/x
  3. Step 3: Cross multiply
    530,282.91x = 731,805.80 × 288,581.07
  4. Step 4: Simplify right side
    530,282.91x = 211,185,300,796.21
  5. Step 5: Solve for x
    x = 211,185,300,796.21/530,282.91
  6. Step 6: Final answer
    x = 398,250.25

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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.