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Finding the Fourth Proportional to 286,775.16, 395,754.29 and 157,719.27

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Solution

The fourth proportional to 286,775.16, 395,754.29 and 157,719.27 is: 217,655.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,775.16 : 395,754.29 = 157,719.27 : x
  2. Step 2: Convert to fraction form
    286,775.16/395,754.29 = 157,719.27/x
  3. Step 3: Cross multiply
    286,775.16x = 395,754.29 × 157,719.27
  4. Step 4: Simplify right side
    286,775.16x = 62,418,077,718.17
  5. Step 5: Solve for x
    x = 62,418,077,718.17/286,775.16
  6. Step 6: Final answer
    x = 217,655.11

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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.