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Finding the Fourth Proportional to 340,169.18, 510,569.06 and 171,807.74

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Solution

The fourth proportional to 340,169.18, 510,569.06 and 171,807.74 is: 257,870.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,169.18 : 510,569.06 = 171,807.74 : x
  2. Step 2: Convert to fraction form
    340,169.18/510,569.06 = 171,807.74/x
  3. Step 3: Cross multiply
    340,169.18x = 510,569.06 × 171,807.74
  4. Step 4: Simplify right side
    340,169.18x = 87,719,716,729.91
  5. Step 5: Solve for x
    x = 87,719,716,729.91/340,169.18
  6. Step 6: Final answer
    x = 257,870.85

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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.