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Finding the Fourth Proportional to 511,008.68, 705,484.28 and 339,159.69

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Solution

The fourth proportional to 511,008.68, 705,484.28 and 339,159.69 is: 468,234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,008.68 : 705,484.28 = 339,159.69 : x
  2. Step 2: Convert to fraction form
    511,008.68/705,484.28 = 339,159.69/x
  3. Step 3: Cross multiply
    511,008.68x = 705,484.28 × 339,159.69
  4. Step 4: Simplify right side
    511,008.68x = 239,271,830,552.57
  5. Step 5: Solve for x
    x = 239,271,830,552.57/511,008.68
  6. Step 6: Final answer
    x = 468,234.37

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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.