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Finding the Fourth Proportional to 546,623.76, 820,188.72 and 209,551.68

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Solution

The fourth proportional to 546,623.76, 820,188.72 and 209,551.68 is: 314,424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,623.76 : 820,188.72 = 209,551.68 : x
  2. Step 2: Convert to fraction form
    546,623.76/820,188.72 = 209,551.68/x
  3. Step 3: Cross multiply
    546,623.76x = 820,188.72 × 209,551.68
  4. Step 4: Simplify right side
    546,623.76x = 171,871,924,193.05
  5. Step 5: Solve for x
    x = 171,871,924,193.05/546,623.76
  6. Step 6: Final answer
    x = 314,424.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.