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Finding the Fourth Proportional to 369,495.48, 509,893.64 and 208,349.24

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Solution

The fourth proportional to 369,495.48, 509,893.64 and 208,349.24 is: 287,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,495.48 : 509,893.64 = 208,349.24 : x
  2. Step 2: Convert to fraction form
    369,495.48/509,893.64 = 208,349.24/x
  3. Step 3: Cross multiply
    369,495.48x = 509,893.64 × 208,349.24
  4. Step 4: Simplify right side
    369,495.48x = 106,235,952,374.83
  5. Step 5: Solve for x
    x = 106,235,952,374.83/369,495.48
  6. Step 6: Final answer
    x = 287,516.24

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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.