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Finding the Fourth Proportional to 520,667.58, 780,109.82 and 284,176.20

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Solution

The fourth proportional to 520,667.58, 780,109.82 and 284,176.20 is: 425,777.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,667.58 : 780,109.82 = 284,176.20 : x
  2. Step 2: Convert to fraction form
    520,667.58/780,109.82 = 284,176.20/x
  3. Step 3: Cross multiply
    520,667.58x = 780,109.82 × 284,176.20
  4. Step 4: Simplify right side
    520,667.58x = 221,688,644,230.28
  5. Step 5: Solve for x
    x = 221,688,644,230.28/520,667.58
  6. Step 6: Final answer
    x = 425,777.70

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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.