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Finding the Fourth Proportional to 304,377.47, 420,053.30 and 168,409.21

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Solution

The fourth proportional to 304,377.47, 420,053.30 and 168,409.21 is: 232,411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,377.47 : 420,053.30 = 168,409.21 : x
  2. Step 2: Convert to fraction form
    304,377.47/420,053.30 = 168,409.21/x
  3. Step 3: Cross multiply
    304,377.47x = 420,053.30 × 168,409.21
  4. Step 4: Simplify right side
    304,377.47x = 70,740,843,568.85
  5. Step 5: Solve for x
    x = 70,740,843,568.85/304,377.47
  6. Step 6: Final answer
    x = 232,411.57

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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.