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Finding the Fourth Proportional to 313,927.32, 470,427.80 and 185,711

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Solution

The fourth proportional to 313,927.32, 470,427.80 and 185,711 is: 278,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,927.32 : 470,427.80 = 185,711 : x
  2. Step 2: Convert to fraction form
    313,927.32/470,427.80 = 185,711/x
  3. Step 3: Cross multiply
    313,927.32x = 470,427.80 × 185,711
  4. Step 4: Simplify right side
    313,927.32x = 87,363,617,165.80
  5. Step 5: Solve for x
    x = 87,363,617,165.80/313,927.32
  6. Step 6: Final answer
    x = 278,292.50

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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.