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Finding the Fourth Proportional to 498,041.61, 746,970.08 and 213,782.64

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Solution

The fourth proportional to 498,041.61, 746,970.08 and 213,782.64 is: 320,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,041.61 : 746,970.08 = 213,782.64 : x
  2. Step 2: Convert to fraction form
    498,041.61/746,970.08 = 213,782.64/x
  3. Step 3: Cross multiply
    498,041.61x = 746,970.08 × 213,782.64
  4. Step 4: Simplify right side
    498,041.61x = 159,689,234,634.50
  5. Step 5: Solve for x
    x = 159,689,234,634.50/498,041.61
  6. Step 6: Final answer
    x = 320,634.32

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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.