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Finding the Fourth Proportional to 343,877.10, 475,628.67 and 304,133.10

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Solution

The fourth proportional to 343,877.10, 475,628.67 and 304,133.10 is: 420,657.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,877.10 : 475,628.67 = 304,133.10 : x
  2. Step 2: Convert to fraction form
    343,877.10/475,628.67 = 304,133.10/x
  3. Step 3: Cross multiply
    343,877.10x = 475,628.67 × 304,133.10
  4. Step 4: Simplify right side
    343,877.10x = 144,654,421,855.98
  5. Step 5: Solve for x
    x = 144,654,421,855.98/343,877.10
  6. Step 6: Final answer
    x = 420,657.33

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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.