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Finding the Fourth Proportional to 385,424.48, 531,868.52 and 213,348.89

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Solution

The fourth proportional to 385,424.48, 531,868.52 and 213,348.89 is: 294,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,424.48 : 531,868.52 = 213,348.89 : x
  2. Step 2: Convert to fraction form
    385,424.48/531,868.52 = 213,348.89/x
  3. Step 3: Cross multiply
    385,424.48x = 531,868.52 × 213,348.89
  4. Step 4: Simplify right side
    385,424.48x = 113,473,554,641.86
  5. Step 5: Solve for x
    x = 113,473,554,641.86/385,424.48
  6. Step 6: Final answer
    x = 294,411.91

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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.