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Finding the Fourth Proportional to 369,342.64, 509,662.22 and 208,237.29

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Solution

The fourth proportional to 369,342.64, 509,662.22 and 208,237.29 is: 287,350.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,342.64 : 509,662.22 = 208,237.29 : x
  2. Step 2: Convert to fraction form
    369,342.64/509,662.22 = 208,237.29/x
  3. Step 3: Cross multiply
    369,342.64x = 509,662.22 × 208,237.29
  4. Step 4: Simplify right side
    369,342.64x = 106,130,679,508.18
  5. Step 5: Solve for x
    x = 106,130,679,508.18/369,342.64
  6. Step 6: Final answer
    x = 287,350.19

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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.