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Finding the Fourth Proportional to 312,308.21, 430,981.76 and 169,065.11

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Solution

The fourth proportional to 312,308.21, 430,981.76 and 169,065.11 is: 233,307.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,308.21 : 430,981.76 = 169,065.11 : x
  2. Step 2: Convert to fraction form
    312,308.21/430,981.76 = 169,065.11/x
  3. Step 3: Cross multiply
    312,308.21x = 430,981.76 × 169,065.11
  4. Step 4: Simplify right side
    312,308.21x = 72,863,977,817.07
  5. Step 5: Solve for x
    x = 72,863,977,817.07/312,308.21
  6. Step 6: Final answer
    x = 233,307.92

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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.