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Finding the Fourth Proportional to 340,834.50, 470,354.88 and 187,878.57

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Solution

The fourth proportional to 340,834.50, 470,354.88 and 187,878.57 is: 259,274.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,834.50 : 470,354.88 = 187,878.57 : x
  2. Step 2: Convert to fraction form
    340,834.50/470,354.88 = 187,878.57/x
  3. Step 3: Cross multiply
    340,834.50x = 470,354.88 × 187,878.57
  4. Step 4: Simplify right side
    340,834.50x = 88,369,602,246.92
  5. Step 5: Solve for x
    x = 88,369,602,246.92/340,834.50
  6. Step 6: Final answer
    x = 259,274.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.