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Finding the Fourth Proportional to 577,342.09, 865,797.72 and 198,155.23

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Solution

The fourth proportional to 577,342.09, 865,797.72 and 198,155.23 is: 297,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,342.09 : 865,797.72 = 198,155.23 : x
  2. Step 2: Convert to fraction form
    577,342.09/865,797.72 = 198,155.23/x
  3. Step 3: Cross multiply
    577,342.09x = 865,797.72 × 198,155.23
  4. Step 4: Simplify right side
    577,342.09x = 171,562,346,340.08
  5. Step 5: Solve for x
    x = 171,562,346,340.08/577,342.09
  6. Step 6: Final answer
    x = 297,158.91

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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.