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Finding the Fourth Proportional to 402,016.80, 602,506.80 and 308,056.80

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Solution

The fourth proportional to 402,016.80, 602,506.80 and 308,056.80 is: 461,687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,016.80 : 602,506.80 = 308,056.80 : x
  2. Step 2: Convert to fraction form
    402,016.80/602,506.80 = 308,056.80/x
  3. Step 3: Cross multiply
    402,016.80x = 602,506.80 × 308,056.80
  4. Step 4: Simplify right side
    402,016.80x = 185,606,316,786.24
  5. Step 5: Solve for x
    x = 185,606,316,786.24/402,016.80
  6. Step 6: Final answer
    x = 461,687.96

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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.