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Finding the Fourth Proportional to 288,970.80, 433,283.40 and 149,002.80

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Solution

The fourth proportional to 288,970.80, 433,283.40 and 149,002.80 is: 223,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,970.80 : 433,283.40 = 149,002.80 : x
  2. Step 2: Convert to fraction form
    288,970.80/433,283.40 = 149,002.80/x
  3. Step 3: Cross multiply
    288,970.80x = 433,283.40 × 149,002.80
  4. Step 4: Simplify right side
    288,970.80x = 64,560,439,793.52
  5. Step 5: Solve for x
    x = 64,560,439,793.52/288,970.80
  6. Step 6: Final answer
    x = 223,415.10

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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.