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Finding the Fourth Proportional to 304,644.81, 420,409.79 and 170,508.81

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Solution

The fourth proportional to 304,644.81, 420,409.79 and 170,508.81 is: 235,302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,644.81 : 420,409.79 = 170,508.81 : x
  2. Step 2: Convert to fraction form
    304,644.81/420,409.79 = 170,508.81/x
  3. Step 3: Cross multiply
    304,644.81x = 420,409.79 × 170,508.81
  4. Step 4: Simplify right side
    304,644.81x = 71,683,572,152.71
  5. Step 5: Solve for x
    x = 71,683,572,152.71/304,644.81
  6. Step 6: Final answer
    x = 235,302.13

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1.5x scale

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.