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Finding the Fourth Proportional to 295,295.10, 442,651.05 and 145,412.70

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Solution

The fourth proportional to 295,295.10, 442,651.05 and 145,412.70 is: 217,975.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,295.10 : 442,651.05 = 145,412.70 : x
  2. Step 2: Convert to fraction form
    295,295.10/442,651.05 = 145,412.70/x
  3. Step 3: Cross multiply
    295,295.10x = 442,651.05 × 145,412.70
  4. Step 4: Simplify right side
    295,295.10x = 64,367,084,338.34
  5. Step 5: Solve for x
    x = 64,367,084,338.34/295,295.10
  6. Step 6: Final answer
    x = 217,975.46

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1.5x scale

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.