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Finding the Fourth Proportional to 969,698.60, 1,453,871.64 and 429,661.16

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Solution

The fourth proportional to 969,698.60, 1,453,871.64 and 429,661.16 is: 644,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,698.60 : 1,453,871.64 = 429,661.16 : x
  2. Step 2: Convert to fraction form
    969,698.60/1,453,871.64 = 429,661.16/x
  3. Step 3: Cross multiply
    969,698.60x = 1,453,871.64 × 429,661.16
  4. Step 4: Simplify right side
    969,698.60x = 624,672,175,333.50
  5. Step 5: Solve for x
    x = 624,672,175,333.50/969,698.60
  6. Step 6: Final answer
    x = 644,192.10

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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.