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Finding the Fourth Proportional to 457,852.80, 686,293.20 and 221,041.20

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Solution

The fourth proportional to 457,852.80, 686,293.20 and 221,041.20 is: 331,327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,852.80 : 686,293.20 = 221,041.20 : x
  2. Step 2: Convert to fraction form
    457,852.80/686,293.20 = 221,041.20/x
  3. Step 3: Cross multiply
    457,852.80x = 686,293.20 × 221,041.20
  4. Step 4: Simplify right side
    457,852.80x = 151,699,072,479.84
  5. Step 5: Solve for x
    x = 151,699,072,479.84/457,852.80
  6. Step 6: Final answer
    x = 331,327.17

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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.