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Finding the Fourth Proportional to 432,695.79, 646,345.41 and 320,594.96

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Solution

The fourth proportional to 432,695.79, 646,345.41 and 320,594.96 is: 478,893.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,695.79 : 646,345.41 = 320,594.96 : x
  2. Step 2: Convert to fraction form
    432,695.79/646,345.41 = 320,594.96/x
  3. Step 3: Cross multiply
    432,695.79x = 646,345.41 × 320,594.96
  4. Step 4: Simplify right side
    432,695.79x = 207,215,077,633.41
  5. Step 5: Solve for x
    x = 207,215,077,633.41/432,695.79
  6. Step 6: Final answer
    x = 478,893.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.