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Finding the Fourth Proportional to 471,030.84, 650,085.12 and 280,149.48

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Solution

The fourth proportional to 471,030.84, 650,085.12 and 280,149.48 is: 386,643.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,030.84 : 650,085.12 = 280,149.48 : x
  2. Step 2: Convert to fraction form
    471,030.84/650,085.12 = 280,149.48/x
  3. Step 3: Cross multiply
    471,030.84x = 650,085.12 × 280,149.48
  4. Step 4: Simplify right side
    471,030.84x = 182,121,008,323.74
  5. Step 5: Solve for x
    x = 182,121,008,323.74/471,030.84
  6. Step 6: Final answer
    x = 386,643.49

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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.