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Finding the Fourth Proportional to 514,645.20, 710,212.44 and 288,290.88

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Solution

The fourth proportional to 514,645.20, 710,212.44 and 288,290.88 is: 397,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,645.20 : 710,212.44 = 288,290.88 : x
  2. Step 2: Convert to fraction form
    514,645.20/710,212.44 = 288,290.88/x
  3. Step 3: Cross multiply
    514,645.20x = 710,212.44 × 288,290.88
  4. Step 4: Simplify right side
    514,645.20x = 204,747,769,314.55
  5. Step 5: Solve for x
    x = 204,747,769,314.55/514,645.20
  6. Step 6: Final answer
    x = 397,842.57

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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.