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Finding the Fourth Proportional to 295,513.60, 442,978.80 and 145,631.20

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Solution

The fourth proportional to 295,513.60, 442,978.80 and 145,631.20 is: 218,303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,513.60 : 442,978.80 = 145,631.20 : x
  2. Step 2: Convert to fraction form
    295,513.60/442,978.80 = 145,631.20/x
  3. Step 3: Cross multiply
    295,513.60x = 442,978.80 × 145,631.20
  4. Step 4: Simplify right side
    295,513.60x = 64,511,534,218.56
  5. Step 5: Solve for x
    x = 64,511,534,218.56/295,513.60
  6. Step 6: Final answer
    x = 218,303.10

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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.