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Finding the Fourth Proportional to 538,497.43, 743,124.01 and 296,779.48

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Solution

The fourth proportional to 538,497.43, 743,124.01 and 296,779.48 is: 409,554.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,497.43 : 743,124.01 = 296,779.48 : x
  2. Step 2: Convert to fraction form
    538,497.43/743,124.01 = 296,779.48/x
  3. Step 3: Cross multiply
    538,497.43x = 743,124.01 × 296,779.48
  4. Step 4: Simplify right side
    538,497.43x = 220,543,957,263.32
  5. Step 5: Solve for x
    x = 220,543,957,263.32/538,497.43
  6. Step 6: Final answer
    x = 409,554.34

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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.