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Finding the Fourth Proportional to 405,164.76, 558,460.54 and 287,331.02

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Solution

The fourth proportional to 405,164.76, 558,460.54 and 287,331.02 is: 396,043.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,164.76 : 558,460.54 = 287,331.02 : x
  2. Step 2: Convert to fraction form
    405,164.76/558,460.54 = 287,331.02/x
  3. Step 3: Cross multiply
    405,164.76x = 558,460.54 × 287,331.02
  4. Step 4: Simplify right side
    405,164.76x = 160,463,036,587.95
  5. Step 5: Solve for x
    x = 160,463,036,587.95/405,164.76
  6. Step 6: Final answer
    x = 396,043.91

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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.