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Finding the Fourth Proportional to 314,800.74, 434,082 and 212,648.88

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Solution

The fourth proportional to 314,800.74, 434,082 and 212,648.88 is: 293,223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,800.74 : 434,082 = 212,648.88 : x
  2. Step 2: Convert to fraction form
    314,800.74/434,082 = 212,648.88/x
  3. Step 3: Cross multiply
    314,800.74x = 434,082 × 212,648.88
  4. Step 4: Simplify right side
    314,800.74x = 92,307,051,128.16
  5. Step 5: Solve for x
    x = 92,307,051,128.16/314,800.74
  6. Step 6: Final answer
    x = 293,223.74

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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.