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Finding the Fourth Proportional to 295,269.40, 442,904.10 and 287,493.40

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Solution

The fourth proportional to 295,269.40, 442,904.10 and 287,493.40 is: 431,240.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,269.40 : 442,904.10 = 287,493.40 : x
  2. Step 2: Convert to fraction form
    295,269.40/442,904.10 = 287,493.40/x
  3. Step 3: Cross multiply
    295,269.40x = 442,904.10 × 287,493.40
  4. Step 4: Simplify right side
    295,269.40x = 127,332,005,582.94
  5. Step 5: Solve for x
    x = 127,332,005,582.94/295,269.40
  6. Step 6: Final answer
    x = 431,240.10

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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.