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Finding the Fourth Proportional to 520,109.78, 780,250.05 and 160,280.69

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Solution

The fourth proportional to 520,109.78, 780,250.05 and 160,280.69 is: 240,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,109.78 : 780,250.05 = 160,280.69 : x
  2. Step 2: Convert to fraction form
    520,109.78/780,250.05 = 160,280.69/x
  3. Step 3: Cross multiply
    520,109.78x = 780,250.05 × 160,280.69
  4. Step 4: Simplify right side
    520,109.78x = 125,059,014,679.74
  5. Step 5: Solve for x
    x = 125,059,014,679.74/520,109.78
  6. Step 6: Final answer
    x = 240,447.35

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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.