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Finding the Fourth Proportional to 305,311.20, 457,966.80 and 105,565.20

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Solution

The fourth proportional to 305,311.20, 457,966.80 and 105,565.20 is: 158,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,311.20 : 457,966.80 = 105,565.20 : x
  2. Step 2: Convert to fraction form
    305,311.20/457,966.80 = 105,565.20/x
  3. Step 3: Cross multiply
    305,311.20x = 457,966.80 × 105,565.20
  4. Step 4: Simplify right side
    305,311.20x = 48,345,356,835.36
  5. Step 5: Solve for x
    x = 48,345,356,835.36/305,311.20
  6. Step 6: Final answer
    x = 158,347.80

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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.