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Finding the Fourth Proportional to 278,136.90, 417,205.35 and 151,728.30

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Solution

The fourth proportional to 278,136.90, 417,205.35 and 151,728.30 is: 227,592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,136.90 : 417,205.35 = 151,728.30 : x
  2. Step 2: Convert to fraction form
    278,136.90/417,205.35 = 151,728.30/x
  3. Step 3: Cross multiply
    278,136.90x = 417,205.35 × 151,728.30
  4. Step 4: Simplify right side
    278,136.90x = 63,301,858,506.41
  5. Step 5: Solve for x
    x = 63,301,858,506.41/278,136.90
  6. Step 6: Final answer
    x = 227,592.45

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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.