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Finding the Fourth Proportional to 288,000.20, 432,000.30 and 257,673.80

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Solution

The fourth proportional to 288,000.20, 432,000.30 and 257,673.80 is: 386,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,000.20 : 432,000.30 = 257,673.80 : x
  2. Step 2: Convert to fraction form
    288,000.20/432,000.30 = 257,673.80/x
  3. Step 3: Cross multiply
    288,000.20x = 432,000.30 × 257,673.80
  4. Step 4: Simplify right side
    288,000.20x = 111,315,158,902.14
  5. Step 5: Solve for x
    x = 111,315,158,902.14/288,000.20
  6. Step 6: Final answer
    x = 386,510.70

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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.