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Finding the Fourth Proportional to 259,906.31, 358,673.70 and 152,478.17

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Solution

The fourth proportional to 259,906.31, 358,673.70 and 152,478.17 is: 210,421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,906.31 : 358,673.70 = 152,478.17 : x
  2. Step 2: Convert to fraction form
    259,906.31/358,673.70 = 152,478.17/x
  3. Step 3: Cross multiply
    259,906.31x = 358,673.70 × 152,478.17
  4. Step 4: Simplify right side
    259,906.31x = 54,689,909,403.13
  5. Step 5: Solve for x
    x = 54,689,909,403.13/259,906.31
  6. Step 6: Final answer
    x = 210,421.63

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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.