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Finding the Fourth Proportional to 601,977.12, 830,744.22 and 340,311.60

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Solution

The fourth proportional to 601,977.12, 830,744.22 and 340,311.60 is: 469,638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,977.12 : 830,744.22 = 340,311.60 : x
  2. Step 2: Convert to fraction form
    601,977.12/830,744.22 = 340,311.60/x
  3. Step 3: Cross multiply
    601,977.12x = 830,744.22 × 340,311.60
  4. Step 4: Simplify right side
    601,977.12x = 282,711,894,698.95
  5. Step 5: Solve for x
    x = 282,711,894,698.95/601,977.12
  6. Step 6: Final answer
    x = 469,638.94

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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.