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Finding the Fourth Proportional to 514,908.80, 710,535.36 and 288,510.56

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Solution

The fourth proportional to 514,908.80, 710,535.36 and 288,510.56 is: 398,122.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,908.80 : 710,535.36 = 288,510.56 : x
  2. Step 2: Convert to fraction form
    514,908.80/710,535.36 = 288,510.56/x
  3. Step 3: Cross multiply
    514,908.80x = 710,535.36 × 288,510.56
  4. Step 4: Simplify right side
    514,908.80x = 204,996,954,613.40
  5. Step 5: Solve for x
    x = 204,996,954,613.40/514,908.80
  6. Step 6: Final answer
    x = 398,122.84

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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.