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Finding the Fourth Proportional to 398,355.64, 549,723.70 and 217,068.84

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Solution

The fourth proportional to 398,355.64, 549,723.70 and 217,068.84 is: 299,551.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,355.64 : 549,723.70 = 217,068.84 : x
  2. Step 2: Convert to fraction form
    398,355.64/549,723.70 = 217,068.84/x
  3. Step 3: Cross multiply
    398,355.64x = 549,723.70 × 217,068.84
  4. Step 4: Simplify right side
    398,355.64x = 119,327,885,879.51
  5. Step 5: Solve for x
    x = 119,327,885,879.51/398,355.64
  6. Step 6: Final answer
    x = 299,551.14

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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.