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Finding the Fourth Proportional to 307,077.84, 423,763.11 and 171,117.54

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Solution

The fourth proportional to 307,077.84, 423,763.11 and 171,117.54 is: 236,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,077.84 : 423,763.11 = 171,117.54 : x
  2. Step 2: Convert to fraction form
    307,077.84/423,763.11 = 171,117.54/x
  3. Step 3: Cross multiply
    307,077.84x = 423,763.11 × 171,117.54
  4. Step 4: Simplify right side
    307,077.84x = 72,513,300,925.95
  5. Step 5: Solve for x
    x = 72,513,300,925.95/307,077.84
  6. Step 6: Final answer
    x = 236,139.80

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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.