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Finding the Fourth Proportional to 314,865.88, 434,508.45 and 171,624.67

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Solution

The fourth proportional to 314,865.88, 434,508.45 and 171,624.67 is: 236,838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,865.88 : 434,508.45 = 171,624.67 : x
  2. Step 2: Convert to fraction form
    314,865.88/434,508.45 = 171,624.67/x
  3. Step 3: Cross multiply
    314,865.88x = 434,508.45 × 171,624.67
  4. Step 4: Simplify right side
    314,865.88x = 74,572,369,343.46
  5. Step 5: Solve for x
    x = 74,572,369,343.46/314,865.88
  6. Step 6: Final answer
    x = 236,838.52

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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.