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Finding the Fourth Proportional to 294,287.10, 441,430.65 and 72,671.10

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Solution

The fourth proportional to 294,287.10, 441,430.65 and 72,671.10 is: 109,006.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,287.10 : 441,430.65 = 72,671.10 : x
  2. Step 2: Convert to fraction form
    294,287.10/441,430.65 = 72,671.10/x
  3. Step 3: Cross multiply
    294,287.10x = 441,430.65 × 72,671.10
  4. Step 4: Simplify right side
    294,287.10x = 32,079,250,909.22
  5. Step 5: Solve for x
    x = 32,079,250,909.22/294,287.10
  6. Step 6: Final answer
    x = 109,006.65

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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.