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Finding the Fourth Proportional to 507,102, 699,800.76 and 280,762.08

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Solution

The fourth proportional to 507,102, 699,800.76 and 280,762.08 is: 387,451.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,102 : 699,800.76 = 280,762.08 : x
  2. Step 2: Convert to fraction form
    507,102/699,800.76 = 280,762.08/x
  3. Step 3: Cross multiply
    507,102x = 699,800.76 × 280,762.08
  4. Step 4: Simplify right side
    507,102x = 196,477,516,963.18
  5. Step 5: Solve for x
    x = 196,477,516,963.18/507,102
  6. Step 6: Final answer
    x = 387,451.67

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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.