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Finding the Fourth Proportional to 471,128.17, 706,411.37 and 319,511.66

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Solution

The fourth proportional to 471,128.17, 706,411.37 and 319,511.66 is: 479,077.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,128.17 : 706,411.37 = 319,511.66 : x
  2. Step 2: Convert to fraction form
    471,128.17/706,411.37 = 319,511.66/x
  3. Step 3: Cross multiply
    471,128.17x = 706,411.37 × 319,511.66
  4. Step 4: Simplify right side
    471,128.17x = 225,706,670,452.08
  5. Step 5: Solve for x
    x = 225,706,670,452.08/471,128.17
  6. Step 6: Final answer
    x = 479,077.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.