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Finding the Fourth Proportional to 309,574.59, 464,363.51 and 140,977.35

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Solution

The fourth proportional to 309,574.59, 464,363.51 and 140,977.35 is: 211,466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,574.59 : 464,363.51 = 140,977.35 : x
  2. Step 2: Convert to fraction form
    309,574.59/464,363.51 = 140,977.35/x
  3. Step 3: Cross multiply
    309,574.59x = 464,363.51 × 140,977.35
  4. Step 4: Simplify right side
    309,574.59x = 65,464,736,371.61
  5. Step 5: Solve for x
    x = 65,464,736,371.61/309,574.59
  6. Step 6: Final answer
    x = 211,466.76

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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.