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Finding the Fourth Proportional to 538,417.10, 743,014.06 and 296,699.60

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Solution

The fourth proportional to 538,417.10, 743,014.06 and 296,699.60 is: 409,444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,417.10 : 743,014.06 = 296,699.60 : x
  2. Step 2: Convert to fraction form
    538,417.10/743,014.06 = 296,699.60/x
  3. Step 3: Cross multiply
    538,417.10x = 743,014.06 × 296,699.60
  4. Step 4: Simplify right side
    538,417.10x = 220,451,974,396.38
  5. Step 5: Solve for x
    x = 220,451,974,396.38/538,417.10
  6. Step 6: Final answer
    x = 409,444.60

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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.