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Finding the Fourth Proportional to 577,464.39, 865,980.86 and 198,277.47

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Solution

The fourth proportional to 577,464.39, 865,980.86 and 198,277.47 is: 297,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,464.39 : 865,980.86 = 198,277.47 : x
  2. Step 2: Convert to fraction form
    577,464.39/865,980.86 = 198,277.47/x
  3. Step 3: Cross multiply
    577,464.39x = 865,980.86 × 198,277.47
  4. Step 4: Simplify right side
    577,464.39x = 171,704,492,997.84
  5. Step 5: Solve for x
    x = 171,704,492,997.84/577,464.39
  6. Step 6: Final answer
    x = 297,342.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.