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Finding the Fourth Proportional to 530,616.90, 730,856.54 and 407,874.50

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Solution

The fourth proportional to 530,616.90, 730,856.54 and 407,874.50 is: 561,794.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,616.90 : 730,856.54 = 407,874.50 : x
  2. Step 2: Convert to fraction form
    530,616.90/730,856.54 = 407,874.50/x
  3. Step 3: Cross multiply
    530,616.90x = 730,856.54 × 407,874.50
  4. Step 4: Simplify right side
    530,616.90x = 298,097,745,824.23
  5. Step 5: Solve for x
    x = 298,097,745,824.23/530,616.90
  6. Step 6: Final answer
    x = 561,794.67

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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.