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Finding the Fourth Proportional to 340,492.32, 510,442.56 and 171,872.19

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Solution

The fourth proportional to 340,492.32, 510,442.56 and 171,872.19 is: 257,658.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,492.32 : 510,442.56 = 171,872.19 : x
  2. Step 2: Convert to fraction form
    340,492.32/510,442.56 = 171,872.19/x
  3. Step 3: Cross multiply
    340,492.32x = 510,442.56 × 171,872.19
  4. Step 4: Simplify right side
    340,492.32x = 87,730,880,656.41
  5. Step 5: Solve for x
    x = 87,730,880,656.41/340,492.32
  6. Step 6: Final answer
    x = 257,658.91

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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.