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Finding the Fourth Proportional to 398,320.06, 549,674.70 and 217,033.50

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Solution

The fourth proportional to 398,320.06, 549,674.70 and 217,033.50 is: 299,502.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,320.06 : 549,674.70 = 217,033.50 : x
  2. Step 2: Convert to fraction form
    398,320.06/549,674.70 = 217,033.50/x
  3. Step 3: Cross multiply
    398,320.06x = 549,674.70 × 217,033.50
  4. Step 4: Simplify right side
    398,320.06x = 119,297,824,002.45
  5. Step 5: Solve for x
    x = 119,297,824,002.45/398,320.06
  6. Step 6: Final answer
    x = 299,502.43

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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.