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Finding the Fourth Proportional to 295,409.80, 442,812.30 and 145,419.40

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Solution

The fourth proportional to 295,409.80, 442,812.30 and 145,419.40 is: 217,980.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,409.80 : 442,812.30 = 145,419.40 : x
  2. Step 2: Convert to fraction form
    295,409.80/442,812.30 = 145,419.40/x
  3. Step 3: Cross multiply
    295,409.80x = 442,812.30 × 145,419.40
  4. Step 4: Simplify right side
    295,409.80x = 64,393,498,978.62
  5. Step 5: Solve for x
    x = 64,393,498,978.62/295,409.80
  6. Step 6: Final answer
    x = 217,980.24

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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.