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Finding the Fourth Proportional to 538,070.88, 742,571.52 and 296,353.40

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Solution

The fourth proportional to 538,070.88, 742,571.52 and 296,353.40 is: 408,986.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,070.88 : 742,571.52 = 296,353.40 : x
  2. Step 2: Convert to fraction form
    538,070.88/742,571.52 = 296,353.40/x
  3. Step 3: Cross multiply
    538,070.88x = 742,571.52 × 296,353.40
  4. Step 4: Simplify right side
    538,070.88x = 220,063,594,695.17
  5. Step 5: Solve for x
    x = 220,063,594,695.17/538,070.88
  6. Step 6: Final answer
    x = 408,986.26

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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.