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Finding the Fourth Proportional to 434,481.60, 651,722.40 and 210,014.40

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Solution

The fourth proportional to 434,481.60, 651,722.40 and 210,014.40 is: 315,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,481.60 : 651,722.40 = 210,014.40 : x
  2. Step 2: Convert to fraction form
    434,481.60/651,722.40 = 210,014.40/x
  3. Step 3: Cross multiply
    434,481.60x = 651,722.40 × 210,014.40
  4. Step 4: Simplify right side
    434,481.60x = 136,871,088,802.56
  5. Step 5: Solve for x
    x = 136,871,088,802.56/434,481.60
  6. Step 6: Final answer
    x = 315,021.60

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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.