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Finding the Fourth Proportional to 514,901.80, 710,525.70 and 288,503.56

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Solution

The fourth proportional to 514,901.80, 710,525.70 and 288,503.56 is: 398,113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,901.80 : 710,525.70 = 288,503.56 : x
  2. Step 2: Convert to fraction form
    514,901.80/710,525.70 = 288,503.56/x
  3. Step 3: Cross multiply
    514,901.80x = 710,525.70 × 288,503.56
  4. Step 4: Simplify right side
    514,901.80x = 204,989,193,921.49
  5. Step 5: Solve for x
    x = 204,989,193,921.49/514,901.80
  6. Step 6: Final answer
    x = 398,113.18

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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.