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Finding the Fourth Proportional to 400,099.68, 549,828.36 and 381,597.12

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Solution

The fourth proportional to 400,099.68, 549,828.36 and 381,597.12 is: 524,401.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,099.68 : 549,828.36 = 381,597.12 : x
  2. Step 2: Convert to fraction form
    400,099.68/549,828.36 = 381,597.12/x
  3. Step 3: Cross multiply
    400,099.68x = 549,828.36 × 381,597.12
  4. Step 4: Simplify right side
    400,099.68x = 209,812,918,670.32
  5. Step 5: Solve for x
    x = 209,812,918,670.32/400,099.68
  6. Step 6: Final answer
    x = 524,401.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.