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Finding the Fourth Proportional to 307,865.40, 461,567.70 and 167,782.20

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Solution

The fourth proportional to 307,865.40, 461,567.70 and 167,782.20 is: 251,547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,865.40 : 461,567.70 = 167,782.20 : x
  2. Step 2: Convert to fraction form
    307,865.40/461,567.70 = 167,782.20/x
  3. Step 3: Cross multiply
    307,865.40x = 461,567.70 × 167,782.20
  4. Step 4: Simplify right side
    307,865.40x = 77,442,844,154.94
  5. Step 5: Solve for x
    x = 77,442,844,154.94/307,865.40
  6. Step 6: Final answer
    x = 251,547.74

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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.