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Finding the Fourth Proportional to 369,565.47, 509,997.87 and 208,421.91

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Solution

The fourth proportional to 369,565.47, 509,997.87 and 208,421.91 is: 287,620.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,565.47 : 509,997.87 = 208,421.91 : x
  2. Step 2: Convert to fraction form
    369,565.47/509,997.87 = 208,421.91/x
  3. Step 3: Cross multiply
    369,565.47x = 509,997.87 × 208,421.91
  4. Step 4: Simplify right side
    369,565.47x = 106,294,730,161.33
  5. Step 5: Solve for x
    x = 106,294,730,161.33/369,565.47
  6. Step 6: Final answer
    x = 287,620.84

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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.