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Finding the Fourth Proportional to 319,136.80, 478,474.80 and 178,938.40

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Solution

The fourth proportional to 319,136.80, 478,474.80 and 178,938.40 is: 268,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,136.80 : 478,474.80 = 178,938.40 : x
  2. Step 2: Convert to fraction form
    319,136.80/478,474.80 = 178,938.40/x
  3. Step 3: Cross multiply
    319,136.80x = 478,474.80 × 178,938.40
  4. Step 4: Simplify right side
    319,136.80x = 85,617,515,152.32
  5. Step 5: Solve for x
    x = 85,617,515,152.32/319,136.80
  6. Step 6: Final answer
    x = 268,278.42

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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.