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Finding the Fourth Proportional to 563,908.01, 778,194.09 and 309,261.02

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Solution

The fourth proportional to 563,908.01, 778,194.09 and 309,261.02 is: 426,780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,908.01 : 778,194.09 = 309,261.02 : x
  2. Step 2: Convert to fraction form
    563,908.01/778,194.09 = 309,261.02/x
  3. Step 3: Cross multiply
    563,908.01x = 778,194.09 × 309,261.02
  4. Step 4: Simplify right side
    563,908.01x = 240,665,094,140.40
  5. Step 5: Solve for x
    x = 240,665,094,140.40/563,908.01
  6. Step 6: Final answer
    x = 426,780.77

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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.