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Finding the Fourth Proportional to 768,452.40, 1,152,880.20 and 295,153.20

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Solution

The fourth proportional to 768,452.40, 1,152,880.20 and 295,153.20 is: 442,807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,452.40 : 1,152,880.20 = 295,153.20 : x
  2. Step 2: Convert to fraction form
    768,452.40/1,152,880.20 = 295,153.20/x
  3. Step 3: Cross multiply
    768,452.40x = 1,152,880.20 × 295,153.20
  4. Step 4: Simplify right side
    768,452.40x = 340,276,280,246.64
  5. Step 5: Solve for x
    x = 340,276,280,246.64/768,452.40
  6. Step 6: Final answer
    x = 442,807.23

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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.