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Finding the Fourth Proportional to 284,466.51, 392,580.62 and 163,642.05

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Solution

The fourth proportional to 284,466.51, 392,580.62 and 163,642.05 is: 225,835.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,466.51 : 392,580.62 = 163,642.05 : x
  2. Step 2: Convert to fraction form
    284,466.51/392,580.62 = 163,642.05/x
  3. Step 3: Cross multiply
    284,466.51x = 392,580.62 × 163,642.05
  4. Step 4: Simplify right side
    284,466.51x = 64,242,696,628.86
  5. Step 5: Solve for x
    x = 64,242,696,628.86/284,466.51
  6. Step 6: Final answer
    x = 225,835.71

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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.