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Finding the Fourth Proportional to 428,727.80, 642,728.82 and 162,341.48

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Solution

The fourth proportional to 428,727.80, 642,728.82 and 162,341.48 is: 243,374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,727.80 : 642,728.82 = 162,341.48 : x
  2. Step 2: Convert to fraction form
    428,727.80/642,728.82 = 162,341.48/x
  3. Step 3: Cross multiply
    428,727.80x = 642,728.82 × 162,341.48
  4. Step 4: Simplify right side
    428,727.80x = 104,341,547,877.45
  5. Step 5: Solve for x
    x = 104,341,547,877.45/428,727.80
  6. Step 6: Final answer
    x = 243,374.81

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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.