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Finding the Fourth Proportional to 309,897.59, 464,785.18 and 85,200.08

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Solution

The fourth proportional to 309,897.59, 464,785.18 and 85,200.08 is: 127,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,897.59 : 464,785.18 = 85,200.08 : x
  2. Step 2: Convert to fraction form
    309,897.59/464,785.18 = 85,200.08/x
  3. Step 3: Cross multiply
    309,897.59x = 464,785.18 × 85,200.08
  4. Step 4: Simplify right side
    309,897.59x = 39,599,734,518.81
  5. Step 5: Solve for x
    x = 39,599,734,518.81/309,897.59
  6. Step 6: Final answer
    x = 127,783.29

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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.