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Finding the Fourth Proportional to 507,223.78, 699,989.93 and 280,869.28

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Solution

The fourth proportional to 507,223.78, 699,989.93 and 280,869.28 is: 387,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,223.78 : 699,989.93 = 280,869.28 : x
  2. Step 2: Convert to fraction form
    507,223.78/699,989.93 = 280,869.28/x
  3. Step 3: Cross multiply
    507,223.78x = 699,989.93 × 280,869.28
  4. Step 4: Simplify right side
    507,223.78x = 196,605,666,242.00
  5. Step 5: Solve for x
    x = 196,605,666,242.00/507,223.78
  6. Step 6: Final answer
    x = 387,611.30

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Double scale
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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.