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Finding the Fourth Proportional to 405,165.51, 558,461.59 and 287,331.77

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Solution

The fourth proportional to 405,165.51, 558,461.59 and 287,331.77 is: 396,044.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,165.51 : 558,461.59 = 287,331.77 : x
  2. Step 2: Convert to fraction form
    405,165.51/558,461.59 = 287,331.77/x
  3. Step 3: Cross multiply
    405,165.51x = 558,461.59 × 287,331.77
  4. Step 4: Simplify right side
    405,165.51x = 160,463,757,809.54
  5. Step 5: Solve for x
    x = 160,463,757,809.54/405,165.51
  6. Step 6: Final answer
    x = 396,044.96

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1.5x scale

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.