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Finding the Fourth Proportional to 474,320.08, 654,714.12 and 313,318

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Solution

The fourth proportional to 474,320.08, 654,714.12 and 313,318 is: 432,479.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,320.08 : 654,714.12 = 313,318 : x
  2. Step 2: Convert to fraction form
    474,320.08/654,714.12 = 313,318/x
  3. Step 3: Cross multiply
    474,320.08x = 654,714.12 × 313,318
  4. Step 4: Simplify right side
    474,320.08x = 205,133,718,650.16
  5. Step 5: Solve for x
    x = 205,133,718,650.16/474,320.08
  6. Step 6: Final answer
    x = 432,479.52

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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.