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Finding the Fourth Proportional to 314,494, 434,011.44 and 180,358

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Solution

The fourth proportional to 314,494, 434,011.44 and 180,358 is: 248,899.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,494 : 434,011.44 = 180,358 : x
  2. Step 2: Convert to fraction form
    314,494/434,011.44 = 180,358/x
  3. Step 3: Cross multiply
    314,494x = 434,011.44 × 180,358
  4. Step 4: Simplify right side
    314,494x = 78,277,435,295.52
  5. Step 5: Solve for x
    x = 78,277,435,295.52/314,494
  6. Step 6: Final answer
    x = 248,899.61

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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.