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Finding the Fourth Proportional to 551,838.12, 761,812.16 and 361,142.76

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Solution

The fourth proportional to 551,838.12, 761,812.16 and 361,142.76 is: 498,557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,838.12 : 761,812.16 = 361,142.76 : x
  2. Step 2: Convert to fraction form
    551,838.12/761,812.16 = 361,142.76/x
  3. Step 3: Cross multiply
    551,838.12x = 761,812.16 × 361,142.76
  4. Step 4: Simplify right side
    551,838.12x = 275,122,946,063.96
  5. Step 5: Solve for x
    x = 275,122,946,063.96/551,838.12
  6. Step 6: Final answer
    x = 498,557.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.