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Finding the Fourth Proportional to 343,610.81, 514,454.54 and 259,106.50

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Solution

The fourth proportional to 343,610.81, 514,454.54 and 259,106.50 is: 387,934.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,610.81 : 514,454.54 = 259,106.50 : x
  2. Step 2: Convert to fraction form
    343,610.81/514,454.54 = 259,106.50/x
  3. Step 3: Cross multiply
    343,610.81x = 514,454.54 × 259,106.50
  4. Step 4: Simplify right side
    343,610.81x = 133,298,513,179.71
  5. Step 5: Solve for x
    x = 133,298,513,179.71/343,610.81
  6. Step 6: Final answer
    x = 387,934.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.