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Finding the Fourth Proportional to 288,108.80, 432,163.20 and 286,265.60

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Solution

The fourth proportional to 288,108.80, 432,163.20 and 286,265.60 is: 429,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,108.80 : 432,163.20 = 286,265.60 : x
  2. Step 2: Convert to fraction form
    288,108.80/432,163.20 = 286,265.60/x
  3. Step 3: Cross multiply
    288,108.80x = 432,163.20 × 286,265.60
  4. Step 4: Simplify right side
    288,108.80x = 123,713,457,745.92
  5. Step 5: Solve for x
    x = 123,713,457,745.92/288,108.80
  6. Step 6: Final answer
    x = 429,398.40

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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.