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Finding the Fourth Proportional to 538,172.10, 742,656.60 and 323,430.30

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Solution

The fourth proportional to 538,172.10, 742,656.60 and 323,430.30 is: 446,321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,172.10 : 742,656.60 = 323,430.30 : x
  2. Step 2: Convert to fraction form
    538,172.10/742,656.60 = 323,430.30/x
  3. Step 3: Cross multiply
    538,172.10x = 742,656.60 × 323,430.30
  4. Step 4: Simplify right side
    538,172.10x = 240,197,646,934.98
  5. Step 5: Solve for x
    x = 240,197,646,934.98/538,172.10
  6. Step 6: Final answer
    x = 446,321.25

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1.5x scale

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.