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Finding the Fourth Proportional to 302,393.17, 417,129 and 189,019.09

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Solution

The fourth proportional to 302,393.17, 417,129 and 189,019.09 is: 260,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,393.17 : 417,129 = 189,019.09 : x
  2. Step 2: Convert to fraction form
    302,393.17/417,129 = 189,019.09/x
  3. Step 3: Cross multiply
    302,393.17x = 417,129 × 189,019.09
  4. Step 4: Simplify right side
    302,393.17x = 78,845,343,992.61
  5. Step 5: Solve for x
    x = 78,845,343,992.61/302,393.17
  6. Step 6: Final answer
    x = 260,737.85

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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.