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Finding the Fourth Proportional to 538,059.80, 742,513.38 and 296,364.98

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Solution

The fourth proportional to 538,059.80, 742,513.38 and 296,364.98 is: 408,978.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,059.80 : 742,513.38 = 296,364.98 : x
  2. Step 2: Convert to fraction form
    538,059.80/742,513.38 = 296,364.98/x
  3. Step 3: Cross multiply
    538,059.80x = 742,513.38 × 296,364.98
  4. Step 4: Simplify right side
    538,059.80x = 220,054,963,013.43
  5. Step 5: Solve for x
    x = 220,054,963,013.43/538,059.80
  6. Step 6: Final answer
    x = 408,978.64

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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.