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Finding the Fourth Proportional to 538,404.68, 743,030.98 and 296,686.84

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Solution

The fourth proportional to 538,404.68, 743,030.98 and 296,686.84 is: 409,445.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,404.68 : 743,030.98 = 296,686.84 : x
  2. Step 2: Convert to fraction form
    538,404.68/743,030.98 = 296,686.84/x
  3. Step 3: Cross multiply
    538,404.68x = 743,030.98 × 296,686.84
  4. Step 4: Simplify right side
    538,404.68x = 220,447,513,478.30
  5. Step 5: Solve for x
    x = 220,447,513,478.30/538,404.68
  6. Step 6: Final answer
    x = 409,445.76

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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.