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Finding the Fourth Proportional to 314,494.50, 434,012.13 and 180,358.50

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Solution

The fourth proportional to 314,494.50, 434,012.13 and 180,358.50 is: 248,900.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,494.50 : 434,012.13 = 180,358.50 : x
  2. Step 2: Convert to fraction form
    314,494.50/434,012.13 = 180,358.50/x
  3. Step 3: Cross multiply
    314,494.50x = 434,012.13 × 180,358.50
  4. Step 4: Simplify right side
    314,494.50x = 78,277,776,748.61
  5. Step 5: Solve for x
    x = 78,277,776,748.61/314,494.50
  6. Step 6: Final answer
    x = 248,900.30

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1.5x scale

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.