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Finding the Fourth Proportional to 382,807.60, 528,269.29 and 213,041.73

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Solution

The fourth proportional to 382,807.60, 528,269.29 and 213,041.73 is: 293,994.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,807.60 : 528,269.29 = 213,041.73 : x
  2. Step 2: Convert to fraction form
    382,807.60/528,269.29 = 213,041.73/x
  3. Step 3: Cross multiply
    382,807.60x = 528,269.29 × 213,041.73
  4. Step 4: Simplify right side
    382,807.60x = 112,543,403,447.47
  5. Step 5: Solve for x
    x = 112,543,403,447.47/382,807.60
  6. Step 6: Final answer
    x = 293,994.69

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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.