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Finding the Fourth Proportional to 432,656.16, 647,706 and 319,585.44

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Solution

The fourth proportional to 432,656.16, 647,706 and 319,585.44 is: 478,433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,656.16 : 647,706 = 319,585.44 : x
  2. Step 2: Convert to fraction form
    432,656.16/647,706 = 319,585.44/x
  3. Step 3: Cross multiply
    432,656.16x = 647,706 × 319,585.44
  4. Step 4: Simplify right side
    432,656.16x = 206,997,407,000.64
  5. Step 5: Solve for x
    x = 206,997,407,000.64/432,656.16
  6. Step 6: Final answer
    x = 478,433.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.