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Finding the Fourth Proportional to 387,961.08, 535,210.46 and 280,360.68

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Solution

The fourth proportional to 387,961.08, 535,210.46 and 280,360.68 is: 386,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,961.08 : 535,210.46 = 280,360.68 : x
  2. Step 2: Convert to fraction form
    387,961.08/535,210.46 = 280,360.68/x
  3. Step 3: Cross multiply
    387,961.08x = 535,210.46 × 280,360.68
  4. Step 4: Simplify right side
    387,961.08x = 150,051,968,508.71
  5. Step 5: Solve for x
    x = 150,051,968,508.71/387,961.08
  6. Step 6: Final answer
    x = 386,770.67

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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.