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Finding the Fourth Proportional to 295,419.80, 442,827.30 and 145,429.40

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Solution

The fourth proportional to 295,419.80, 442,827.30 and 145,429.40 is: 217,995.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,419.80 : 442,827.30 = 145,429.40 : x
  2. Step 2: Convert to fraction form
    295,419.80/442,827.30 = 145,429.40/x
  3. Step 3: Cross multiply
    295,419.80x = 442,827.30 × 145,429.40
  4. Step 4: Simplify right side
    295,419.80x = 64,400,108,542.62
  5. Step 5: Solve for x
    x = 64,400,108,542.62/295,419.80
  6. Step 6: Final answer
    x = 217,995.23

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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.