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Finding the Fourth Proportional to 307,292.65, 423,913.12 and 205,343.14

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Solution

The fourth proportional to 307,292.65, 423,913.12 and 205,343.14 is: 283,272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,292.65 : 423,913.12 = 205,343.14 : x
  2. Step 2: Convert to fraction form
    307,292.65/423,913.12 = 205,343.14/x
  3. Step 3: Cross multiply
    307,292.65x = 423,913.12 × 205,343.14
  4. Step 4: Simplify right side
    307,292.65x = 87,047,651,148.00
  5. Step 5: Solve for x
    x = 87,047,651,148.00/307,292.65
  6. Step 6: Final answer
    x = 283,272.81

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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.