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Finding the Fourth Proportional to 509,484.25, 702,347.26 and 356,046.06

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Solution

The fourth proportional to 509,484.25, 702,347.26 and 356,046.06 is: 490,825.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,484.25 : 702,347.26 = 356,046.06 : x
  2. Step 2: Convert to fraction form
    509,484.25/702,347.26 = 356,046.06/x
  3. Step 3: Cross multiply
    509,484.25x = 702,347.26 × 356,046.06
  4. Step 4: Simplify right side
    509,484.25x = 250,067,974,674.80
  5. Step 5: Solve for x
    x = 250,067,974,674.80/509,484.25
  6. Step 6: Final answer
    x = 490,825.72

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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.