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Finding the Fourth Proportional to 520,216.35, 780,398.85 and 160,417.59

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Solution

The fourth proportional to 520,216.35, 780,398.85 and 160,417.59 is: 240,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,216.35 : 780,398.85 = 160,417.59 : x
  2. Step 2: Convert to fraction form
    520,216.35/780,398.85 = 160,417.59/x
  3. Step 3: Cross multiply
    520,216.35x = 780,398.85 × 160,417.59
  4. Step 4: Simplify right side
    520,216.35x = 125,189,702,755.77
  5. Step 5: Solve for x
    x = 125,189,702,755.77/520,216.35
  6. Step 6: Final answer
    x = 240,649.30

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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.