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Finding the Fourth Proportional to 401,614.20, 602,507.70 and 121,159.80

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Solution

The fourth proportional to 401,614.20, 602,507.70 and 121,159.80 is: 181,765.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,614.20 : 602,507.70 = 121,159.80 : x
  2. Step 2: Convert to fraction form
    401,614.20/602,507.70 = 121,159.80/x
  3. Step 3: Cross multiply
    401,614.20x = 602,507.70 × 121,159.80
  4. Step 4: Simplify right side
    401,614.20x = 72,999,712,430.46
  5. Step 5: Solve for x
    x = 72,999,712,430.46/401,614.20
  6. Step 6: Final answer
    x = 181,765.77

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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.