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Finding the Fourth Proportional to 288,048.20, 432,072.30 and 286,298.60

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Solution

The fourth proportional to 288,048.20, 432,072.30 and 286,298.60 is: 429,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,048.20 : 432,072.30 = 286,298.60 : x
  2. Step 2: Convert to fraction form
    288,048.20/432,072.30 = 286,298.60/x
  3. Step 3: Cross multiply
    288,048.20x = 432,072.30 × 286,298.60
  4. Step 4: Simplify right side
    288,048.20x = 123,701,694,588.78
  5. Step 5: Solve for x
    x = 123,701,694,588.78/288,048.20
  6. Step 6: Final answer
    x = 429,447.90

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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.