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Finding the Fourth Proportional to 520,158.12, 780,264.18 and 165,199.92

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Solution

The fourth proportional to 520,158.12, 780,264.18 and 165,199.92 is: 247,808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,158.12 : 780,264.18 = 165,199.92 : x
  2. Step 2: Convert to fraction form
    520,158.12/780,264.18 = 165,199.92/x
  3. Step 3: Cross multiply
    520,158.12x = 780,264.18 × 165,199.92
  4. Step 4: Simplify right side
    520,158.12x = 128,899,580,114.87
  5. Step 5: Solve for x
    x = 128,899,580,114.87/520,158.12
  6. Step 6: Final answer
    x = 247,808.46

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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.