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Finding the Fourth Proportional to 461,426.80, 692,140.20 and 343,328.80

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Solution

The fourth proportional to 461,426.80, 692,140.20 and 343,328.80 is: 514,993.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,426.80 : 692,140.20 = 343,328.80 : x
  2. Step 2: Convert to fraction form
    461,426.80/692,140.20 = 343,328.80/x
  3. Step 3: Cross multiply
    461,426.80x = 692,140.20 × 343,328.80
  4. Step 4: Simplify right side
    461,426.80x = 237,631,664,297.76
  5. Step 5: Solve for x
    x = 237,631,664,297.76/461,426.80
  6. Step 6: Final answer
    x = 514,993.20

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Similar ratio
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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.