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Finding the Fourth Proportional to 398,325.32, 549,682.44 and 217,039.40

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Solution

The fourth proportional to 398,325.32, 549,682.44 and 217,039.40 is: 299,510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,325.32 : 549,682.44 = 217,039.40 : x
  2. Step 2: Convert to fraction form
    398,325.32/549,682.44 = 217,039.40/x
  3. Step 3: Cross multiply
    398,325.32x = 549,682.44 × 217,039.40
  4. Step 4: Simplify right side
    398,325.32x = 119,302,746,968.14
  5. Step 5: Solve for x
    x = 119,302,746,968.14/398,325.32
  6. Step 6: Final answer
    x = 299,510.83

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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.