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Finding the Fourth Proportional to 382,641.21, 528,773.15 and 286,981.83

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Solution

The fourth proportional to 382,641.21, 528,773.15 and 286,981.83 is: 396,581.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,641.21 : 528,773.15 = 286,981.83 : x
  2. Step 2: Convert to fraction form
    382,641.21/528,773.15 = 286,981.83/x
  3. Step 3: Cross multiply
    382,641.21x = 528,773.15 × 286,981.83
  4. Step 4: Simplify right side
    382,641.21x = 151,748,284,806.96
  5. Step 5: Solve for x
    x = 151,748,284,806.96/382,641.21
  6. Step 6: Final answer
    x = 396,581.13

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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.