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Finding the Fourth Proportional to 382,805.45, 528,260.50 and 213,035.93

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Solution

The fourth proportional to 382,805.45, 528,260.50 and 213,035.93 is: 293,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,805.45 : 528,260.50 = 213,035.93 : x
  2. Step 2: Convert to fraction form
    382,805.45/528,260.50 = 213,035.93/x
  3. Step 3: Cross multiply
    382,805.45x = 528,260.50 × 213,035.93
  4. Step 4: Simplify right side
    382,805.45x = 112,538,466,899.77
  5. Step 5: Solve for x
    x = 112,538,466,899.77/382,805.45
  6. Step 6: Final answer
    x = 293,983.45

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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.