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Finding the Fourth Proportional to 538,453.56, 743,070.80 and 296,744.76

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Solution

The fourth proportional to 538,453.56, 743,070.80 and 296,744.76 is: 409,510.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,453.56 : 743,070.80 = 296,744.76 : x
  2. Step 2: Convert to fraction form
    538,453.56/743,070.80 = 296,744.76/x
  3. Step 3: Cross multiply
    538,453.56x = 743,070.80 × 296,744.76
  4. Step 4: Simplify right side
    538,453.56x = 220,502,366,209.01
  5. Step 5: Solve for x
    x = 220,502,366,209.01/538,453.56
  6. Step 6: Final answer
    x = 409,510.46

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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.