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Finding the Fourth Proportional to 284,477.81, 392,587.07 and 169,822.98

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Solution

The fourth proportional to 284,477.81, 392,587.07 and 169,822.98 is: 234,360.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,477.81 : 392,587.07 = 169,822.98 : x
  2. Step 2: Convert to fraction form
    284,477.81/392,587.07 = 169,822.98/x
  3. Step 3: Cross multiply
    284,477.81x = 392,587.07 × 169,822.98
  4. Step 4: Simplify right side
    284,477.81x = 66,670,305,287.75
  5. Step 5: Solve for x
    x = 66,670,305,287.75/284,477.81
  6. Step 6: Final answer
    x = 234,360.31

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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.