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Finding the Fourth Proportional to 393,784.80, 589,640.40 and 288,031.20

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Solution

The fourth proportional to 393,784.80, 589,640.40 and 288,031.20 is: 431,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,784.80 : 589,640.40 = 288,031.20 : x
  2. Step 2: Convert to fraction form
    393,784.80/589,640.40 = 288,031.20/x
  3. Step 3: Cross multiply
    393,784.80x = 589,640.40 × 288,031.20
  4. Step 4: Simplify right side
    393,784.80x = 169,834,831,980.48
  5. Step 5: Solve for x
    x = 169,834,831,980.48/393,784.80
  6. Step 6: Final answer
    x = 431,288.44

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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.