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Finding the Fourth Proportional to 302,420.84, 417,166.92 and 189,046.76

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Solution

The fourth proportional to 302,420.84, 417,166.92 and 189,046.76 is: 260,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,420.84 : 417,166.92 = 189,046.76 : x
  2. Step 2: Convert to fraction form
    302,420.84/417,166.92 = 189,046.76/x
  3. Step 3: Cross multiply
    302,420.84x = 417,166.92 × 189,046.76
  4. Step 4: Simplify right side
    302,420.84x = 78,864,054,605.18
  5. Step 5: Solve for x
    x = 78,864,054,605.18/302,420.84
  6. Step 6: Final answer
    x = 260,775.86

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1.5x scale

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.