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Finding the Fourth Proportional to 520,311.30, 780,078.15 and 283,920.90

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Solution

The fourth proportional to 520,311.30, 780,078.15 and 283,920.90 is: 425,669.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,311.30 : 780,078.15 = 283,920.90 : x
  2. Step 2: Convert to fraction form
    520,311.30/780,078.15 = 283,920.90/x
  3. Step 3: Cross multiply
    520,311.30x = 780,078.15 × 283,920.90
  4. Step 4: Simplify right side
    520,311.30x = 221,480,490,418.34
  5. Step 5: Solve for x
    x = 221,480,490,418.34/520,311.30
  6. Step 6: Final answer
    x = 425,669.19

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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.