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Finding the Fourth Proportional to 259,561, 357,869.64 and 216,602.38

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Solution

The fourth proportional to 259,561, 357,869.64 and 216,602.38 is: 298,640.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,561 : 357,869.64 = 216,602.38 : x
  2. Step 2: Convert to fraction form
    259,561/357,869.64 = 216,602.38/x
  3. Step 3: Cross multiply
    259,561x = 357,869.64 × 216,602.38
  4. Step 4: Simplify right side
    259,561x = 77,515,415,753.74
  5. Step 5: Solve for x
    x = 77,515,415,753.74/259,561
  6. Step 6: Final answer
    x = 298,640.46

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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.