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Finding the Fourth Proportional to 563,948.92, 778,260.18 and 309,313

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Solution

The fourth proportional to 563,948.92, 778,260.18 and 309,313 is: 426,857.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,948.92 : 778,260.18 = 309,313 : x
  2. Step 2: Convert to fraction form
    563,948.92/778,260.18 = 309,313/x
  3. Step 3: Cross multiply
    563,948.92x = 778,260.18 × 309,313
  4. Step 4: Simplify right side
    563,948.92x = 240,725,991,056.34
  5. Step 5: Solve for x
    x = 240,725,991,056.34/563,948.92
  6. Step 6: Final answer
    x = 426,857.79

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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.