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Finding the Fourth Proportional to 340,920.32, 470,470.56 and 190,014.08

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Solution

The fourth proportional to 340,920.32, 470,470.56 and 190,014.08 is: 262,219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,920.32 : 470,470.56 = 190,014.08 : x
  2. Step 2: Convert to fraction form
    340,920.32/470,470.56 = 190,014.08/x
  3. Step 3: Cross multiply
    340,920.32x = 470,470.56 × 190,014.08
  4. Step 4: Simplify right side
    340,920.32x = 89,396,030,625.48
  5. Step 5: Solve for x
    x = 89,396,030,625.48/340,920.32
  6. Step 6: Final answer
    x = 262,219.72

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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.