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Finding the Fourth Proportional to 520,215.85, 780,398.10 and 160,417.09

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Solution

The fourth proportional to 520,215.85, 780,398.10 and 160,417.09 is: 240,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,215.85 : 780,398.10 = 160,417.09 : x
  2. Step 2: Convert to fraction form
    520,215.85/780,398.10 = 160,417.09/x
  3. Step 3: Cross multiply
    520,215.85x = 780,398.10 × 160,417.09
  4. Step 4: Simplify right side
    520,215.85x = 125,189,192,243.53
  5. Step 5: Solve for x
    x = 125,189,192,243.53/520,215.85
  6. Step 6: Final answer
    x = 240,648.55

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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.