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Finding the Fourth Proportional to 520,512.90, 780,769.35 and 514,983.30

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Solution

The fourth proportional to 520,512.90, 780,769.35 and 514,983.30 is: 772,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,512.90 : 780,769.35 = 514,983.30 : x
  2. Step 2: Convert to fraction form
    520,512.90/780,769.35 = 514,983.30/x
  3. Step 3: Cross multiply
    520,512.90x = 780,769.35 × 514,983.30
  4. Step 4: Simplify right side
    520,512.90x = 402,083,176,401.86
  5. Step 5: Solve for x
    x = 402,083,176,401.86/520,512.90
  6. Step 6: Final answer
    x = 772,474.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.