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Finding the Fourth Proportional to 486,871.16, 671,767.06 and 282,800.82

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Solution

The fourth proportional to 486,871.16, 671,767.06 and 282,800.82 is: 390,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,871.16 : 671,767.06 = 282,800.82 : x
  2. Step 2: Convert to fraction form
    486,871.16/671,767.06 = 282,800.82/x
  3. Step 3: Cross multiply
    486,871.16x = 671,767.06 × 282,800.82
  4. Step 4: Simplify right side
    486,871.16x = 189,976,275,416.99
  5. Step 5: Solve for x
    x = 189,976,275,416.99/486,871.16
  6. Step 6: Final answer
    x = 390,198.25

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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.