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Finding the Fourth Proportional to 684,301.76, 944,308.32 and 378,358.64

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Solution

The fourth proportional to 684,301.76, 944,308.32 and 378,358.64 is: 522,119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,301.76 : 944,308.32 = 378,358.64 : x
  2. Step 2: Convert to fraction form
    684,301.76/944,308.32 = 378,358.64/x
  3. Step 3: Cross multiply
    684,301.76x = 944,308.32 × 378,358.64
  4. Step 4: Simplify right side
    684,301.76x = 357,287,211,695.89
  5. Step 5: Solve for x
    x = 357,287,211,695.89/684,301.76
  6. Step 6: Final answer
    x = 522,119.38

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1.5x scale

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.