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Finding the Fourth Proportional to 562,293.30, 775,978.47 and 320,598.75

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Solution

The fourth proportional to 562,293.30, 775,978.47 and 320,598.75 is: 442,434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,293.30 : 775,978.47 = 320,598.75 : x
  2. Step 2: Convert to fraction form
    562,293.30/775,978.47 = 320,598.75/x
  3. Step 3: Cross multiply
    562,293.30x = 775,978.47 × 320,598.75
  4. Step 4: Simplify right side
    562,293.30x = 248,777,727,508.91
  5. Step 5: Solve for x
    x = 248,777,727,508.91/562,293.30
  6. Step 6: Final answer
    x = 442,434.10

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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.