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Finding the Fourth Proportional to 384,305.22, 577,332.63 and 278,017.02

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Solution

The fourth proportional to 384,305.22, 577,332.63 and 278,017.02 is: 417,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,305.22 : 577,332.63 = 278,017.02 : x
  2. Step 2: Convert to fraction form
    384,305.22/577,332.63 = 278,017.02/x
  3. Step 3: Cross multiply
    384,305.22x = 577,332.63 × 278,017.02
  4. Step 4: Simplify right side
    384,305.22x = 160,508,297,341.36
  5. Step 5: Solve for x
    x = 160,508,297,341.36/384,305.22
  6. Step 6: Final answer
    x = 417,658.38

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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.