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Finding the Fourth Proportional to 320,487.31, 480,590.72 and 152,055.66

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Solution

The fourth proportional to 320,487.31, 480,590.72 and 152,055.66 is: 228,016.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,487.31 : 480,590.72 = 152,055.66 : x
  2. Step 2: Convert to fraction form
    320,487.31/480,590.72 = 152,055.66/x
  3. Step 3: Cross multiply
    320,487.31x = 480,590.72 × 152,055.66
  4. Step 4: Simplify right side
    320,487.31x = 73,076,535,956.24
  5. Step 5: Solve for x
    x = 73,076,535,956.24/320,487.31
  6. Step 6: Final answer
    x = 228,016.94

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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.