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Finding the Fourth Proportional to 384,307.22, 577,335.63 and 278,019.02

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Solution

The fourth proportional to 384,307.22, 577,335.63 and 278,019.02 is: 417,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,307.22 : 577,335.63 = 278,019.02 : x
  2. Step 2: Convert to fraction form
    384,307.22/577,335.63 = 278,019.02/x
  3. Step 3: Cross multiply
    384,307.22x = 577,335.63 × 278,019.02
  4. Step 4: Simplify right side
    384,307.22x = 160,510,286,063.68
  5. Step 5: Solve for x
    x = 160,510,286,063.68/384,307.22
  6. Step 6: Final answer
    x = 417,661.39

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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.