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Finding the Fourth Proportional to 342,645, 513,967.50 and 93,327

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Solution

The fourth proportional to 342,645, 513,967.50 and 93,327 is: 139,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,645 : 513,967.50 = 93,327 : x
  2. Step 2: Convert to fraction form
    342,645/513,967.50 = 93,327/x
  3. Step 3: Cross multiply
    342,645x = 513,967.50 × 93,327
  4. Step 4: Simplify right side
    342,645x = 47,967,044,872.50
  5. Step 5: Solve for x
    x = 47,967,044,872.50/342,645
  6. Step 6: Final answer
    x = 139,990.50

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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.