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Finding the Fourth Proportional to 288,225.90, 431,354.70 and 264,606.30

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Solution

The fourth proportional to 288,225.90, 431,354.70 and 264,606.30 is: 396,005.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,225.90 : 431,354.70 = 264,606.30 : x
  2. Step 2: Convert to fraction form
    288,225.90/431,354.70 = 264,606.30/x
  3. Step 3: Cross multiply
    288,225.90x = 431,354.70 × 264,606.30
  4. Step 4: Simplify right side
    288,225.90x = 114,139,171,154.61
  5. Step 5: Solve for x
    x = 114,139,171,154.61/288,225.90
  6. Step 6: Final answer
    x = 396,005.95

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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.