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Finding the Fourth Proportional to 434,730.30, 651,791.70 and 257,145.90

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Solution

The fourth proportional to 434,730.30, 651,791.70 and 257,145.90 is: 385,539.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,730.30 : 651,791.70 = 257,145.90 : x
  2. Step 2: Convert to fraction form
    434,730.30/651,791.70 = 257,145.90/x
  3. Step 3: Cross multiply
    434,730.30x = 651,791.70 × 257,145.90
  4. Step 4: Simplify right side
    434,730.30x = 167,605,563,309.03
  5. Step 5: Solve for x
    x = 167,605,563,309.03/434,730.30
  6. Step 6: Final answer
    x = 385,539.18

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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.