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Finding the Fourth Proportional to 369,772.82, 510,276.10 and 208,642.86

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Solution

The fourth proportional to 369,772.82, 510,276.10 and 208,642.86 is: 287,921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,772.82 : 510,276.10 = 208,642.86 : x
  2. Step 2: Convert to fraction form
    369,772.82/510,276.10 = 208,642.86/x
  3. Step 3: Cross multiply
    369,772.82x = 510,276.10 × 208,642.86
  4. Step 4: Simplify right side
    369,772.82x = 106,465,464,893.65
  5. Step 5: Solve for x
    x = 106,465,464,893.65/369,772.82
  6. Step 6: Final answer
    x = 287,921.28

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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.