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Finding the Fourth Proportional to 302,663.95, 417,476.23 and 189,289.87

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Solution

The fourth proportional to 302,663.95, 417,476.23 and 189,289.87 is: 261,094.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,663.95 : 417,476.23 = 189,289.87 : x
  2. Step 2: Convert to fraction form
    302,663.95/417,476.23 = 189,289.87/x
  3. Step 3: Cross multiply
    302,663.95x = 417,476.23 × 189,289.87
  4. Step 4: Simplify right side
    302,663.95x = 79,024,021,304.79
  5. Step 5: Solve for x
    x = 79,024,021,304.79/302,663.95
  6. Step 6: Final answer
    x = 261,094.92

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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.