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Finding the Fourth Proportional to 643,599.87, 965,368.43 and 238,870.86

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Solution

The fourth proportional to 643,599.87, 965,368.43 and 238,870.86 is: 358,294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,599.87 : 965,368.43 = 238,870.86 : x
  2. Step 2: Convert to fraction form
    643,599.87/965,368.43 = 238,870.86/x
  3. Step 3: Cross multiply
    643,599.87x = 965,368.43 × 238,870.86
  4. Step 4: Simplify right side
    643,599.87x = 230,598,387,090.95
  5. Step 5: Solve for x
    x = 230,598,387,090.95/643,599.87
  6. Step 6: Final answer
    x = 358,294.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.