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Finding the Fourth Proportional to 385,788.69, 532,376.35 and 213,699.74

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Solution

The fourth proportional to 385,788.69, 532,376.35 and 213,699.74 is: 294,898.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,788.69 : 532,376.35 = 213,699.74 : x
  2. Step 2: Convert to fraction form
    385,788.69/532,376.35 = 213,699.74/x
  3. Step 3: Cross multiply
    385,788.69x = 532,376.35 × 213,699.74
  4. Step 4: Simplify right side
    385,788.69x = 113,768,684,381.02
  5. Step 5: Solve for x
    x = 113,768,684,381.02/385,788.69
  6. Step 6: Final answer
    x = 294,898.96

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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.