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Finding the Fourth Proportional to 418,776.81, 578,014.64 and 237,594.79

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Solution

The fourth proportional to 418,776.81, 578,014.64 and 237,594.79 is: 327,939.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,776.81 : 578,014.64 = 237,594.79 : x
  2. Step 2: Convert to fraction form
    418,776.81/578,014.64 = 237,594.79/x
  3. Step 3: Cross multiply
    418,776.81x = 578,014.64 × 237,594.79
  4. Step 4: Simplify right side
    418,776.81x = 137,333,267,007.73
  5. Step 5: Solve for x
    x = 137,333,267,007.73/418,776.81
  6. Step 6: Final answer
    x = 327,939.04

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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.