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Finding the Fourth Proportional to 319,471.20, 478,623.60 and 194,666.40

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Solution

The fourth proportional to 319,471.20, 478,623.60 and 194,666.40 is: 291,644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,471.20 : 478,623.60 = 194,666.40 : x
  2. Step 2: Convert to fraction form
    319,471.20/478,623.60 = 194,666.40/x
  3. Step 3: Cross multiply
    319,471.20x = 478,623.60 × 194,666.40
  4. Step 4: Simplify right side
    319,471.20x = 93,171,933,167.04
  5. Step 5: Solve for x
    x = 93,171,933,167.04/319,471.20
  6. Step 6: Final answer
    x = 291,644.23

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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.