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Finding the Fourth Proportional to 288,273.76, 432,410.70 and 147,942.88

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Solution

The fourth proportional to 288,273.76, 432,410.70 and 147,942.88 is: 221,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,273.76 : 432,410.70 = 147,942.88 : x
  2. Step 2: Convert to fraction form
    288,273.76/432,410.70 = 147,942.88/x
  3. Step 3: Cross multiply
    288,273.76x = 432,410.70 × 147,942.88
  4. Step 4: Simplify right side
    288,273.76x = 63,972,084,300.82
  5. Step 5: Solve for x
    x = 63,972,084,300.82/288,273.76
  6. Step 6: Final answer
    x = 221,914.35

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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.