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Finding the Fourth Proportional to 434,599.40, 651,704.70 and 197,820.20

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Solution

The fourth proportional to 434,599.40, 651,704.70 and 197,820.20 is: 296,641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,599.40 : 651,704.70 = 197,820.20 : x
  2. Step 2: Convert to fraction form
    434,599.40/651,704.70 = 197,820.20/x
  3. Step 3: Cross multiply
    434,599.40x = 651,704.70 × 197,820.20
  4. Step 4: Simplify right side
    434,599.40x = 128,920,354,094.94
  5. Step 5: Solve for x
    x = 128,920,354,094.94/434,599.40
  6. Step 6: Final answer
    x = 296,641.81

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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.