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Finding the Fourth Proportional to 216,345.16, 324,518 and 56,421

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Solution

The fourth proportional to 216,345.16, 324,518 and 56,421 is: 84,631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,345.16 : 324,518 = 56,421 : x
  2. Step 2: Convert to fraction form
    216,345.16/324,518 = 56,421/x
  3. Step 3: Cross multiply
    216,345.16x = 324,518 × 56,421
  4. Step 4: Simplify right side
    216,345.16x = 18,309,630,078
  5. Step 5: Solve for x
    x = 18,309,630,078/216,345.16
  6. Step 6: Final answer
    x = 84,631.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.