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Finding the Fourth Proportional to 432,774.90, 647,995.95 and 313,802.10

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Solution

The fourth proportional to 432,774.90, 647,995.95 and 313,802.10 is: 469,857.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,774.90 : 647,995.95 = 313,802.10 : x
  2. Step 2: Convert to fraction form
    432,774.90/647,995.95 = 313,802.10/x
  3. Step 3: Cross multiply
    432,774.90x = 647,995.95 × 313,802.10
  4. Step 4: Simplify right side
    432,774.90x = 203,342,489,901.50
  5. Step 5: Solve for x
    x = 203,342,489,901.50/432,774.90
  6. Step 6: Final answer
    x = 469,857.40

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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.