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Finding the Fourth Proportional to 294,301.20, 406,123.40 and 166,983.78

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Solution

The fourth proportional to 294,301.20, 406,123.40 and 166,983.78 is: 230,430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,301.20 : 406,123.40 = 166,983.78 : x
  2. Step 2: Convert to fraction form
    294,301.20/406,123.40 = 166,983.78/x
  3. Step 3: Cross multiply
    294,301.20x = 406,123.40 × 166,983.78
  4. Step 4: Simplify right side
    294,301.20x = 67,816,020,478.45
  5. Step 5: Solve for x
    x = 67,816,020,478.45/294,301.20
  6. Step 6: Final answer
    x = 230,430.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.