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Finding the Fourth Proportional to 432,005.30, 647,547.15 and 165,662.90

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Solution

The fourth proportional to 432,005.30, 647,547.15 and 165,662.90 is: 248,317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,005.30 : 647,547.15 = 165,662.90 : x
  2. Step 2: Convert to fraction form
    432,005.30/647,547.15 = 165,662.90/x
  3. Step 3: Cross multiply
    432,005.30x = 647,547.15 × 165,662.90
  4. Step 4: Simplify right side
    432,005.30x = 107,274,538,755.74
  5. Step 5: Solve for x
    x = 107,274,538,755.74/432,005.30
  6. Step 6: Final answer
    x = 248,317.65

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1.5x scale

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.