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Finding the Fourth Proportional to 369,633.11, 510,050.86 and 208,490.86

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Solution

The fourth proportional to 369,633.11, 510,050.86 and 208,490.86 is: 287,693.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,633.11 : 510,050.86 = 208,490.86 : x
  2. Step 2: Convert to fraction form
    369,633.11/510,050.86 = 208,490.86/x
  3. Step 3: Cross multiply
    369,633.11x = 510,050.86 × 208,490.86
  4. Step 4: Simplify right side
    369,633.11x = 106,340,942,561.48
  5. Step 5: Solve for x
    x = 106,340,942,561.48/369,633.11
  6. Step 6: Final answer
    x = 287,693.23

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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.