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Finding the Fourth Proportional to 286,769.80, 430,154.70 and 181,707.40

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Solution

The fourth proportional to 286,769.80, 430,154.70 and 181,707.40 is: 272,561.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,769.80 : 430,154.70 = 181,707.40 : x
  2. Step 2: Convert to fraction form
    286,769.80/430,154.70 = 181,707.40/x
  3. Step 3: Cross multiply
    286,769.80x = 430,154.70 × 181,707.40
  4. Step 4: Simplify right side
    286,769.80x = 78,162,292,134.78
  5. Step 5: Solve for x
    x = 78,162,292,134.78/286,769.80
  6. Step 6: Final answer
    x = 272,561.10

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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.