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Finding the Fourth Proportional to 514,900.80, 710,524.32 and 288,502.56

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Solution

The fourth proportional to 514,900.80, 710,524.32 and 288,502.56 is: 398,111.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,900.80 : 710,524.32 = 288,502.56 : x
  2. Step 2: Convert to fraction form
    514,900.80/710,524.32 = 288,502.56/x
  3. Step 3: Cross multiply
    514,900.80x = 710,524.32 × 288,502.56
  4. Step 4: Simplify right side
    514,900.80x = 204,988,085,262.26
  5. Step 5: Solve for x
    x = 204,988,085,262.26/514,900.80
  6. Step 6: Final answer
    x = 398,111.80

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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.