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Finding the Fourth Proportional to 538,346.57, 742,970.60 and 402,144.05

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Solution

The fourth proportional to 538,346.57, 742,970.60 and 402,144.05 is: 554,997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,346.57 : 742,970.60 = 402,144.05 : x
  2. Step 2: Convert to fraction form
    538,346.57/742,970.60 = 402,144.05/x
  3. Step 3: Cross multiply
    538,346.57x = 742,970.60 × 402,144.05
  4. Step 4: Simplify right side
    538,346.57x = 298,781,200,389.36
  5. Step 5: Solve for x
    x = 298,781,200,389.36/538,346.57
  6. Step 6: Final answer
    x = 554,997.88

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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.