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Finding the Fourth Proportional to 357,148.96, 535,723.48 and 278,322.24

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Solution

The fourth proportional to 357,148.96, 535,723.48 and 278,322.24 is: 417,483.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,148.96 : 535,723.48 = 278,322.24 : x
  2. Step 2: Convert to fraction form
    357,148.96/535,723.48 = 278,322.24/x
  3. Step 3: Cross multiply
    357,148.96x = 535,723.48 × 278,322.24
  4. Step 4: Simplify right side
    357,148.96x = 149,103,758,974.20
  5. Step 5: Solve for x
    x = 149,103,758,974.20/357,148.96
  6. Step 6: Final answer
    x = 417,483.39

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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.