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Finding the Fourth Proportional to 398,214.30, 597,313.77 and 98,695.50

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Solution

The fourth proportional to 398,214.30, 597,313.77 and 98,695.50 is: 148,041.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,214.30 : 597,313.77 = 98,695.50 : x
  2. Step 2: Convert to fraction form
    398,214.30/597,313.77 = 98,695.50/x
  3. Step 3: Cross multiply
    398,214.30x = 597,313.77 × 98,695.50
  4. Step 4: Simplify right side
    398,214.30x = 58,952,181,187.04
  5. Step 5: Solve for x
    x = 58,952,181,187.04/398,214.30
  6. Step 6: Final answer
    x = 148,041.35

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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.