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Finding the Fourth Proportional to 288,464.40, 431,712.45 and 288,464.40

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Solution

The fourth proportional to 288,464.40, 431,712.45 and 288,464.40 is: 431,712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,464.40 : 431,712.45 = 288,464.40 : x
  2. Step 2: Convert to fraction form
    288,464.40/431,712.45 = 288,464.40/x
  3. Step 3: Cross multiply
    288,464.40x = 431,712.45 × 288,464.40
  4. Step 4: Simplify right side
    288,464.40x = 124,533,672,861.78
  5. Step 5: Solve for x
    x = 124,533,672,861.78/288,464.40
  6. Step 6: Final answer
    x = 431,712.45

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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.