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Finding the Fourth Proportional to 434,080.40, 651,898.20 and 315,885.20

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Solution

The fourth proportional to 434,080.40, 651,898.20 and 315,885.20 is: 474,393.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,080.40 : 651,898.20 = 315,885.20 : x
  2. Step 2: Convert to fraction form
    434,080.40/651,898.20 = 315,885.20/x
  3. Step 3: Cross multiply
    434,080.40x = 651,898.20 × 315,885.20
  4. Step 4: Simplify right side
    434,080.40x = 205,924,993,286.64
  5. Step 5: Solve for x
    x = 205,924,993,286.64/434,080.40
  6. Step 6: Final answer
    x = 474,393.67

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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.