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Finding the Fourth Proportional to 288,875.94, 398,749.00 and 198,530.97

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Solution

The fourth proportional to 288,875.94, 398,749.00 and 198,530.97 is: 274,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,875.94 : 398,749.00 = 198,530.97 : x
  2. Step 2: Convert to fraction form
    288,875.94/398,749.00 = 198,530.97/x
  3. Step 3: Cross multiply
    288,875.94x = 398,749.00 × 198,530.97
  4. Step 4: Simplify right side
    288,875.94x = 79,164,027,127.76
  5. Step 5: Solve for x
    x = 79,164,027,127.76/288,875.94
  6. Step 6: Final answer
    x = 274,041.60

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1.5x scale

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.