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Finding the Fourth Proportional to 288,524.79, 398,275.31 and 258,256.71

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Solution

The fourth proportional to 288,524.79, 398,275.31 and 258,256.71 is: 356,493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,524.79 : 398,275.31 = 258,256.71 : x
  2. Step 2: Convert to fraction form
    288,524.79/398,275.31 = 258,256.71/x
  3. Step 3: Cross multiply
    288,524.79x = 398,275.31 × 258,256.71
  4. Step 4: Simplify right side
    288,524.79x = 102,857,271,880.47
  5. Step 5: Solve for x
    x = 102,857,271,880.47/288,524.79
  6. Step 6: Final answer
    x = 356,493.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.