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Finding the Fourth Proportional to 520,264.14, 780,470.40 and 160,465.20

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Solution

The fourth proportional to 520,264.14, 780,470.40 and 160,465.20 is: 240,720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,264.14 : 780,470.40 = 160,465.20 : x
  2. Step 2: Convert to fraction form
    520,264.14/780,470.40 = 160,465.20/x
  3. Step 3: Cross multiply
    520,264.14x = 780,470.40 × 160,465.20
  4. Step 4: Simplify right side
    520,264.14x = 125,238,338,830.08
  5. Step 5: Solve for x
    x = 125,238,338,830.08/520,264.14
  6. Step 6: Final answer
    x = 240,720.68

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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.