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Finding the Fourth Proportional to 498,071.90, 746,422.57 and 213,421.70

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Solution

The fourth proportional to 498,071.90, 746,422.57 and 213,421.70 is: 319,838.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,071.90 : 746,422.57 = 213,421.70 : x
  2. Step 2: Convert to fraction form
    498,071.90/746,422.57 = 213,421.70/x
  3. Step 3: Cross multiply
    498,071.90x = 746,422.57 × 213,421.70
  4. Step 4: Simplify right side
    498,071.90x = 159,302,773,807.77
  5. Step 5: Solve for x
    x = 159,302,773,807.77/498,071.90
  6. Step 6: Final answer
    x = 319,838.91

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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.