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Finding the Fourth Proportional to 313,925.32, 470,424.80 and 185,709

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Solution

The fourth proportional to 313,925.32, 470,424.80 and 185,709 is: 278,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,925.32 : 470,424.80 = 185,709 : x
  2. Step 2: Convert to fraction form
    313,925.32/470,424.80 = 185,709/x
  3. Step 3: Cross multiply
    313,925.32x = 470,424.80 × 185,709
  4. Step 4: Simplify right side
    313,925.32x = 87,362,119,183.20
  5. Step 5: Solve for x
    x = 87,362,119,183.20/313,925.32
  6. Step 6: Final answer
    x = 278,289.50

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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.