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Finding the Fourth Proportional to 498,070.40, 746,420.33 and 213,420.20

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Solution

The fourth proportional to 498,070.40, 746,420.33 and 213,420.20 is: 319,836.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,070.40 : 746,420.33 = 213,420.20 : x
  2. Step 2: Convert to fraction form
    498,070.40/746,420.33 = 213,420.20/x
  3. Step 3: Cross multiply
    498,070.40x = 746,420.33 × 213,420.20
  4. Step 4: Simplify right side
    498,070.40x = 159,301,175,045.57
  5. Step 5: Solve for x
    x = 159,301,175,045.57/498,070.40
  6. Step 6: Final answer
    x = 319,836.66

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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.