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Finding the Fourth Proportional to 602,187.23, 830,977 and 330,249.17

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Solution

The fourth proportional to 602,187.23, 830,977 and 330,249.17 is: 455,721.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,187.23 : 830,977 = 330,249.17 : x
  2. Step 2: Convert to fraction form
    602,187.23/830,977 = 330,249.17/x
  3. Step 3: Cross multiply
    602,187.23x = 830,977 × 330,249.17
  4. Step 4: Simplify right side
    602,187.23x = 274,429,464,539.09
  5. Step 5: Solve for x
    x = 274,429,464,539.09/602,187.23
  6. Step 6: Final answer
    x = 455,721.16

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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.