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Finding the Fourth Proportional to 398,266.37, 549,605.95 and 216,977.75

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Solution

The fourth proportional to 398,266.37, 549,605.95 and 216,977.75 is: 299,428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,266.37 : 549,605.95 = 216,977.75 : x
  2. Step 2: Convert to fraction form
    398,266.37/549,605.95 = 216,977.75/x
  3. Step 3: Cross multiply
    398,266.37x = 549,605.95 × 216,977.75
  4. Step 4: Simplify right side
    398,266.37x = 119,252,262,417.61
  5. Step 5: Solve for x
    x = 119,252,262,417.61/398,266.37
  6. Step 6: Final answer
    x = 299,428.40

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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.