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Finding the Fourth Proportional to 305,006.64, 457,511.12 and 170,153.76

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Solution

The fourth proportional to 305,006.64, 457,511.12 and 170,153.76 is: 255,231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,006.64 : 457,511.12 = 170,153.76 : x
  2. Step 2: Convert to fraction form
    305,006.64/457,511.12 = 170,153.76/x
  3. Step 3: Cross multiply
    305,006.64x = 457,511.12 × 170,153.76
  4. Step 4: Simplify right side
    305,006.64x = 77,847,237,309.81
  5. Step 5: Solve for x
    x = 77,847,237,309.81/305,006.64
  6. Step 6: Final answer
    x = 255,231.29

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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.