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Finding the Fourth Proportional to 304,710.81, 420,502.10 and 168,741.78

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Solution

The fourth proportional to 304,710.81, 420,502.10 and 168,741.78 is: 232,864.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,710.81 : 420,502.10 = 168,741.78 : x
  2. Step 2: Convert to fraction form
    304,710.81/420,502.10 = 168,741.78/x
  3. Step 3: Cross multiply
    304,710.81x = 420,502.10 × 168,741.78
  4. Step 4: Simplify right side
    304,710.81x = 70,956,272,004.03
  5. Step 5: Solve for x
    x = 70,956,272,004.03/304,710.81
  6. Step 6: Final answer
    x = 232,864.31

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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.