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Finding the Fourth Proportional to 340,053.90, 509,643.45 and 206,792.70

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Solution

The fourth proportional to 340,053.90, 509,643.45 and 206,792.70 is: 309,923.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,053.90 : 509,643.45 = 206,792.70 : x
  2. Step 2: Convert to fraction form
    340,053.90/509,643.45 = 206,792.70/x
  3. Step 3: Cross multiply
    340,053.90x = 509,643.45 × 206,792.70
  4. Step 4: Simplify right side
    340,053.90x = 105,390,545,062.82
  5. Step 5: Solve for x
    x = 105,390,545,062.82/340,053.90
  6. Step 6: Final answer
    x = 309,923.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.