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Finding the Fourth Proportional to 304,678.83, 420,456.51 and 168,712.77

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Solution

The fourth proportional to 304,678.83, 420,456.51 and 168,712.77 is: 232,823.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,678.83 : 420,456.51 = 168,712.77 : x
  2. Step 2: Convert to fraction form
    304,678.83/420,456.51 = 168,712.77/x
  3. Step 3: Cross multiply
    304,678.83x = 420,456.51 × 168,712.77
  4. Step 4: Simplify right side
    304,678.83x = 70,936,381,522.59
  5. Step 5: Solve for x
    x = 70,936,381,522.59/304,678.83
  6. Step 6: Final answer
    x = 232,823.47

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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.