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Finding the Fourth Proportional to 253,266.29, 349,516.11 and 144,386.72

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Solution

The fourth proportional to 253,266.29, 349,516.11 and 144,386.72 is: 199,258.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,266.29 : 349,516.11 = 144,386.72 : x
  2. Step 2: Convert to fraction form
    253,266.29/349,516.11 = 144,386.72/x
  3. Step 3: Cross multiply
    253,266.29x = 349,516.11 × 144,386.72
  4. Step 4: Simplify right side
    253,266.29x = 50,465,484,710.06
  5. Step 5: Solve for x
    x = 50,465,484,710.06/253,266.29
  6. Step 6: Final answer
    x = 199,258.59

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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.