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Finding the Fourth Proportional to 288,714.42, 398,428.48 and 159,661.63

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Solution

The fourth proportional to 288,714.42, 398,428.48 and 159,661.63 is: 220,334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,714.42 : 398,428.48 = 159,661.63 : x
  2. Step 2: Convert to fraction form
    288,714.42/398,428.48 = 159,661.63/x
  3. Step 3: Cross multiply
    288,714.42x = 398,428.48 × 159,661.63
  4. Step 4: Simplify right side
    288,714.42x = 63,613,737,764.77
  5. Step 5: Solve for x
    x = 63,613,737,764.77/288,714.42
  6. Step 6: Final answer
    x = 220,334.47

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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.