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Finding the Fourth Proportional to 288,000.20, 432,000.30 and 286,250.60

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Solution

The fourth proportional to 288,000.20, 432,000.30 and 286,250.60 is: 429,375.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,000.20 : 432,000.30 = 286,250.60 : x
  2. Step 2: Convert to fraction form
    288,000.20/432,000.30 = 286,250.60/x
  3. Step 3: Cross multiply
    288,000.20x = 432,000.30 × 286,250.60
  4. Step 4: Simplify right side
    288,000.20x = 123,660,345,075.18
  5. Step 5: Solve for x
    x = 123,660,345,075.18/288,000.20
  6. Step 6: Final answer
    x = 429,375.90

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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.