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Finding the Fourth Proportional to 563,861.50, 778,057.35 and 309,145.66

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Solution

The fourth proportional to 563,861.50, 778,057.35 and 309,145.66 is: 426,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,861.50 : 778,057.35 = 309,145.66 : x
  2. Step 2: Convert to fraction form
    563,861.50/778,057.35 = 309,145.66/x
  3. Step 3: Cross multiply
    563,861.50x = 778,057.35 × 309,145.66
  4. Step 4: Simplify right side
    563,861.50x = 240,533,052,983.60
  5. Step 5: Solve for x
    x = 240,533,052,983.60/563,861.50
  6. Step 6: Final answer
    x = 426,581.80

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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.