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Finding the Fourth Proportional to 476,432.80, 713,612.40 and 289,117.60

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Solution

The fourth proportional to 476,432.80, 713,612.40 and 289,117.60 is: 433,047.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,432.80 : 713,612.40 = 289,117.60 : x
  2. Step 2: Convert to fraction form
    476,432.80/713,612.40 = 289,117.60/x
  3. Step 3: Cross multiply
    476,432.80x = 713,612.40 × 289,117.60
  4. Step 4: Simplify right side
    476,432.80x = 206,317,904,418.24
  5. Step 5: Solve for x
    x = 206,317,904,418.24/476,432.80
  6. Step 6: Final answer
    x = 433,047.23

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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.