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Finding the Fourth Proportional to 563,662.80, 778,154.04 and 383,337.36

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Solution

The fourth proportional to 563,662.80, 778,154.04 and 383,337.36 is: 529,209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,662.80 : 778,154.04 = 383,337.36 : x
  2. Step 2: Convert to fraction form
    563,662.80/778,154.04 = 383,337.36/x
  3. Step 3: Cross multiply
    563,662.80x = 778,154.04 × 383,337.36
  4. Step 4: Simplify right side
    563,662.80x = 298,295,515,366.93
  5. Step 5: Solve for x
    x = 298,295,515,366.93/563,662.80
  6. Step 6: Final answer
    x = 529,209.16

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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.