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Finding the Fourth Proportional to 259,575, 357,888.96 and 216,616.38

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Solution

The fourth proportional to 259,575, 357,888.96 and 216,616.38 is: 298,659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,575 : 357,888.96 = 216,616.38 : x
  2. Step 2: Convert to fraction form
    259,575/357,888.96 = 216,616.38/x
  3. Step 3: Cross multiply
    259,575x = 357,888.96 × 216,616.38
  4. Step 4: Simplify right side
    259,575x = 77,524,610,957.16
  5. Step 5: Solve for x
    x = 77,524,610,957.16/259,575
  6. Step 6: Final answer
    x = 298,659.77

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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.