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Finding the Fourth Proportional to 384,472.20, 576,017.10 and 313,969.80

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Solution

The fourth proportional to 384,472.20, 576,017.10 and 313,969.80 is: 470,390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,472.20 : 576,017.10 = 313,969.80 : x
  2. Step 2: Convert to fraction form
    384,472.20/576,017.10 = 313,969.80/x
  3. Step 3: Cross multiply
    384,472.20x = 576,017.10 × 313,969.80
  4. Step 4: Simplify right side
    384,472.20x = 180,851,973,683.58
  5. Step 5: Solve for x
    x = 180,851,973,683.58/384,472.20
  6. Step 6: Final answer
    x = 470,390.25

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1.5x scale

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.