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Finding the Fourth Proportional to 309,390.85, 464,130.78 and 117,335.98

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Solution

The fourth proportional to 309,390.85, 464,130.78 and 117,335.98 is: 176,020.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,390.85 : 464,130.78 = 117,335.98 : x
  2. Step 2: Convert to fraction form
    309,390.85/464,130.78 = 117,335.98/x
  3. Step 3: Cross multiply
    309,390.85x = 464,130.78 × 117,335.98
  4. Step 4: Simplify right side
    309,390.85x = 54,459,239,919.46
  5. Step 5: Solve for x
    x = 54,459,239,919.46/309,390.85
  6. Step 6: Final answer
    x = 176,020.85

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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.