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Finding the Fourth Proportional to 330,770, 456,501.12 and 185,615.84

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Solution

The fourth proportional to 330,770, 456,501.12 and 185,615.84 is: 256,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,770 : 456,501.12 = 185,615.84 : x
  2. Step 2: Convert to fraction form
    330,770/456,501.12 = 185,615.84/x
  3. Step 3: Cross multiply
    330,770x = 456,501.12 × 185,615.84
  4. Step 4: Simplify right side
    330,770x = 84,733,838,849.74
  5. Step 5: Solve for x
    x = 84,733,838,849.74/330,770
  6. Step 6: Final answer
    x = 256,171.48

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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.