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Finding the Fourth Proportional to 538,830.48, 743,570.14 and 297,113

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Solution

The fourth proportional to 538,830.48, 743,570.14 and 297,113 is: 410,007.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,830.48 : 743,570.14 = 297,113 : x
  2. Step 2: Convert to fraction form
    538,830.48/743,570.14 = 297,113/x
  3. Step 3: Cross multiply
    538,830.48x = 743,570.14 × 297,113
  4. Step 4: Simplify right side
    538,830.48x = 220,924,355,005.82
  5. Step 5: Solve for x
    x = 220,924,355,005.82/538,830.48
  6. Step 6: Final answer
    x = 410,007.16

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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.