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Finding the Fourth Proportional to 418,513.61, 576,572.50 and 290,967.77

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Solution

The fourth proportional to 418,513.61, 576,572.50 and 290,967.77 is: 400,856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,513.61 : 576,572.50 = 290,967.77 : x
  2. Step 2: Convert to fraction form
    418,513.61/576,572.50 = 290,967.77/x
  3. Step 3: Cross multiply
    418,513.61x = 576,572.50 × 290,967.77
  4. Step 4: Simplify right side
    418,513.61x = 167,764,014,568.33
  5. Step 5: Solve for x
    x = 167,764,014,568.33/418,513.61
  6. Step 6: Final answer
    x = 400,856.77

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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.