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Finding the Fourth Proportional to 307,516.90, 461,275.35 and 207,984.10

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Solution

The fourth proportional to 307,516.90, 461,275.35 and 207,984.10 is: 311,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,516.90 : 461,275.35 = 207,984.10 : x
  2. Step 2: Convert to fraction form
    307,516.90/461,275.35 = 207,984.10/x
  3. Step 3: Cross multiply
    307,516.90x = 461,275.35 × 207,984.10
  4. Step 4: Simplify right side
    307,516.90x = 95,937,938,521.94
  5. Step 5: Solve for x
    x = 95,937,938,521.94/307,516.90
  6. Step 6: Final answer
    x = 311,976.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.