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Finding the Fourth Proportional to 357,268.12, 535,401.78 and 268,465

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Solution

The fourth proportional to 357,268.12, 535,401.78 and 268,465 is: 402,321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,268.12 : 535,401.78 = 268,465 : x
  2. Step 2: Convert to fraction form
    357,268.12/535,401.78 = 268,465/x
  3. Step 3: Cross multiply
    357,268.12x = 535,401.78 × 268,465
  4. Step 4: Simplify right side
    357,268.12x = 143,736,638,867.70
  5. Step 5: Solve for x
    x = 143,736,638,867.70/357,268.12
  6. Step 6: Final answer
    x = 402,321.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.