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Finding the Fourth Proportional to 320,722.96, 480,828.48 and 152,158.72

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Solution

The fourth proportional to 320,722.96, 480,828.48 and 152,158.72 is: 228,116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,722.96 : 480,828.48 = 152,158.72 : x
  2. Step 2: Convert to fraction form
    320,722.96/480,828.48 = 152,158.72/x
  3. Step 3: Cross multiply
    320,722.96x = 480,828.48 × 152,158.72
  4. Step 4: Simplify right side
    320,722.96x = 73,162,246,056.35
  5. Step 5: Solve for x
    x = 73,162,246,056.35/320,722.96
  6. Step 6: Final answer
    x = 228,116.65

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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.