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Finding the Fourth Proportional to 288,878.48, 398,752.49 and 198,533.51

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Solution

The fourth proportional to 288,878.48, 398,752.49 and 198,533.51 is: 274,045.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,878.48 : 398,752.49 = 198,533.51 : x
  2. Step 2: Convert to fraction form
    288,878.48/398,752.49 = 198,533.51/x
  3. Step 3: Cross multiply
    288,878.48x = 398,752.49 × 198,533.51
  4. Step 4: Simplify right side
    288,878.48x = 79,165,731,460.94
  5. Step 5: Solve for x
    x = 79,165,731,460.94/288,878.48
  6. Step 6: Final answer
    x = 274,045.10

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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.