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Finding the Fourth Proportional to 521,470.71, 719,639.78 and 340,298.55

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Solution

The fourth proportional to 521,470.71, 719,639.78 and 340,298.55 is: 469,618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,470.71 : 719,639.78 = 340,298.55 : x
  2. Step 2: Convert to fraction form
    521,470.71/719,639.78 = 340,298.55/x
  3. Step 3: Cross multiply
    521,470.71x = 719,639.78 × 340,298.55
  4. Step 4: Simplify right side
    521,470.71x = 244,892,371,954.83
  5. Step 5: Solve for x
    x = 244,892,371,954.83/521,470.71
  6. Step 6: Final answer
    x = 469,618.65

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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.