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Finding the Fourth Proportional to 305,215.60, 457,714.05 and 155,406.10

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Solution

The fourth proportional to 305,215.60, 457,714.05 and 155,406.10 is: 233,053.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,215.60 : 457,714.05 = 155,406.10 : x
  2. Step 2: Convert to fraction form
    305,215.60/457,714.05 = 155,406.10/x
  3. Step 3: Cross multiply
    305,215.60x = 457,714.05 × 155,406.10
  4. Step 4: Simplify right side
    305,215.60x = 71,131,555,425.71
  5. Step 5: Solve for x
    x = 71,131,555,425.71/305,215.60
  6. Step 6: Final answer
    x = 233,053.47

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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.