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Finding the Fourth Proportional to 398,255.88, 549,586.68 and 216,969.98

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Solution

The fourth proportional to 398,255.88, 549,586.68 and 216,969.98 is: 299,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,255.88 : 549,586.68 = 216,969.98 : x
  2. Step 2: Convert to fraction form
    398,255.88/549,586.68 = 216,969.98/x
  3. Step 3: Cross multiply
    398,255.88x = 549,586.68 × 216,969.98
  4. Step 4: Simplify right side
    398,255.88x = 119,243,810,967.87
  5. Step 5: Solve for x
    x = 119,243,810,967.87/398,255.88
  6. Step 6: Final answer
    x = 299,415.07

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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.