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Finding the Fourth Proportional to 566,078.64, 780,864.12 and 353,742

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Solution

The fourth proportional to 566,078.64, 780,864.12 and 353,742 is: 487,961.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,078.64 : 780,864.12 = 353,742 : x
  2. Step 2: Convert to fraction form
    566,078.64/780,864.12 = 353,742/x
  3. Step 3: Cross multiply
    566,078.64x = 780,864.12 × 353,742
  4. Step 4: Simplify right side
    566,078.64x = 276,224,435,537.04
  5. Step 5: Solve for x
    x = 276,224,435,537.04/566,078.64
  6. Step 6: Final answer
    x = 487,961.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.