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Finding the Fourth Proportional to 302,417.04, 417,335.04 and 187,653

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Solution

The fourth proportional to 302,417.04, 417,335.04 and 187,653 is: 258,960.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,417.04 : 417,335.04 = 187,653 : x
  2. Step 2: Convert to fraction form
    302,417.04/417,335.04 = 187,653/x
  3. Step 3: Cross multiply
    302,417.04x = 417,335.04 × 187,653
  4. Step 4: Simplify right side
    302,417.04x = 78,314,172,261.12
  5. Step 5: Solve for x
    x = 78,314,172,261.12/302,417.04
  6. Step 6: Final answer
    x = 258,960.85

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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.