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Finding the Fourth Proportional to 385,710.19, 532,262.21 and 213,616.51

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Solution

The fourth proportional to 385,710.19, 532,262.21 and 213,616.51 is: 294,780.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,710.19 : 532,262.21 = 213,616.51 : x
  2. Step 2: Convert to fraction form
    385,710.19/532,262.21 = 213,616.51/x
  3. Step 3: Cross multiply
    385,710.19x = 532,262.21 × 213,616.51
  4. Step 4: Simplify right side
    385,710.19x = 113,699,993,306.35
  5. Step 5: Solve for x
    x = 113,699,993,306.35/385,710.19
  6. Step 6: Final answer
    x = 294,780.89

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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.