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Finding the Fourth Proportional to 288,536.81, 398,201.40 and 159,472.51

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Solution

The fourth proportional to 288,536.81, 398,201.40 and 159,472.51 is: 220,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,536.81 : 398,201.40 = 159,472.51 : x
  2. Step 2: Convert to fraction form
    288,536.81/398,201.40 = 159,472.51/x
  3. Step 3: Cross multiply
    288,536.81x = 398,201.40 × 159,472.51
  4. Step 4: Simplify right side
    288,536.81x = 63,502,175,748.01
  5. Step 5: Solve for x
    x = 63,502,175,748.01/288,536.81
  6. Step 6: Final answer
    x = 220,083.45

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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.