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Finding the Fourth Proportional to 305,026.90, 457,612.80 and 105,348.94

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Solution

The fourth proportional to 305,026.90, 457,612.80 and 105,348.94 is: 158,048.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,026.90 : 457,612.80 = 105,348.94 : x
  2. Step 2: Convert to fraction form
    305,026.90/457,612.80 = 105,348.94/x
  3. Step 3: Cross multiply
    305,026.90x = 457,612.80 × 105,348.94
  4. Step 4: Simplify right side
    305,026.90x = 48,209,023,410.43
  5. Step 5: Solve for x
    x = 48,209,023,410.43/305,026.90
  6. Step 6: Final answer
    x = 158,048.43

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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.