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Finding the Fourth Proportional to 342,319.86, 513,491.50 and 117,678.38

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Solution

The fourth proportional to 342,319.86, 513,491.50 and 117,678.38 is: 176,521.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,319.86 : 513,491.50 = 117,678.38 : x
  2. Step 2: Convert to fraction form
    342,319.86/513,491.50 = 117,678.38/x
  3. Step 3: Cross multiply
    342,319.86x = 513,491.50 × 117,678.38
  4. Step 4: Simplify right side
    342,319.86x = 60,426,845,443.41
  5. Step 5: Solve for x
    x = 60,426,845,443.41/342,319.86
  6. Step 6: Final answer
    x = 176,521.59

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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.