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Finding the Fourth Proportional to 302,642.84, 417,633.66 and 173,488.72

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Solution

The fourth proportional to 302,642.84, 417,633.66 and 173,488.72 is: 239,406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,642.84 : 417,633.66 = 173,488.72 : x
  2. Step 2: Convert to fraction form
    302,642.84/417,633.66 = 173,488.72/x
  3. Step 3: Cross multiply
    302,642.84x = 417,633.66 × 173,488.72
  4. Step 4: Simplify right side
    302,642.84x = 72,454,730,359.22
  5. Step 5: Solve for x
    x = 72,454,730,359.22/302,642.84
  6. Step 6: Final answer
    x = 239,406.72

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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.