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Finding the Fourth Proportional to 562,114.08, 775,714.32 and 320,436

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Solution

The fourth proportional to 562,114.08, 775,714.32 and 320,436 is: 442,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,114.08 : 775,714.32 = 320,436 : x
  2. Step 2: Convert to fraction form
    562,114.08/775,714.32 = 320,436/x
  3. Step 3: Cross multiply
    562,114.08x = 775,714.32 × 320,436
  4. Step 4: Simplify right side
    562,114.08x = 248,566,793,843.52
  5. Step 5: Solve for x
    x = 248,566,793,843.52/562,114.08
  6. Step 6: Final answer
    x = 442,199.91

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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.