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Finding the Fourth Proportional to 413,550.12, 570,915.90 and 278,295.24

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Solution

The fourth proportional to 413,550.12, 570,915.90 and 278,295.24 is: 384,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,550.12 : 570,915.90 = 278,295.24 : x
  2. Step 2: Convert to fraction form
    413,550.12/570,915.90 = 278,295.24/x
  3. Step 3: Cross multiply
    413,550.12x = 570,915.90 × 278,295.24
  4. Step 4: Simplify right side
    413,550.12x = 158,883,177,410.32
  5. Step 5: Solve for x
    x = 158,883,177,410.32/413,550.12
  6. Step 6: Final answer
    x = 384,193.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.