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Finding the Fourth Proportional to 304,711.60, 457,140.30 and 146,810.20

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Solution

The fourth proportional to 304,711.60, 457,140.30 and 146,810.20 is: 220,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,711.60 : 457,140.30 = 146,810.20 : x
  2. Step 2: Convert to fraction form
    304,711.60/457,140.30 = 146,810.20/x
  3. Step 3: Cross multiply
    304,711.60x = 457,140.30 × 146,810.20
  4. Step 4: Simplify right side
    304,711.60x = 67,112,858,871.06
  5. Step 5: Solve for x
    x = 67,112,858,871.06/304,711.60
  6. Step 6: Final answer
    x = 220,250.42

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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.