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Finding the Fourth Proportional to 538,302.83, 742,874.75 and 308,902.12

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Solution

The fourth proportional to 538,302.83, 742,874.75 and 308,902.12 is: 426,294.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,302.83 : 742,874.75 = 308,902.12 : x
  2. Step 2: Convert to fraction form
    538,302.83/742,874.75 = 308,902.12/x
  3. Step 3: Cross multiply
    538,302.83x = 742,874.75 × 308,902.12
  4. Step 4: Simplify right side
    538,302.83x = 229,475,585,169.47
  5. Step 5: Solve for x
    x = 229,475,585,169.47/538,302.83
  6. Step 6: Final answer
    x = 426,294.59

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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.