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Finding the Fourth Proportional to 520,646.32, 780,077.94 and 284,154.94

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Solution

The fourth proportional to 520,646.32, 780,077.94 and 284,154.94 is: 425,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,646.32 : 780,077.94 = 284,154.94 : x
  2. Step 2: Convert to fraction form
    520,646.32/780,077.94 = 284,154.94/x
  3. Step 3: Cross multiply
    520,646.32x = 780,077.94 × 284,154.94
  4. Step 4: Simplify right side
    520,646.32x = 221,663,000,236.02
  5. Step 5: Solve for x
    x = 221,663,000,236.02/520,646.32
  6. Step 6: Final answer
    x = 425,745.83

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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.