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Finding the Fourth Proportional to 520,009.80, 780,088.51 and 160,209.86

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Solution

The fourth proportional to 520,009.80, 780,088.51 and 160,209.86 is: 240,337.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,009.80 : 780,088.51 = 160,209.86 : x
  2. Step 2: Convert to fraction form
    520,009.80/780,088.51 = 160,209.86/x
  3. Step 3: Cross multiply
    520,009.80x = 780,088.51 × 160,209.86
  4. Step 4: Simplify right side
    520,009.80x = 124,977,870,974.71
  5. Step 5: Solve for x
    x = 124,977,870,974.71/520,009.80
  6. Step 6: Final answer
    x = 240,337.53

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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.