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Finding the Fourth Proportional to 319,098.40, 478,647.60 and 194,682.40

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Solution

The fourth proportional to 319,098.40, 478,647.60 and 194,682.40 is: 292,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,098.40 : 478,647.60 = 194,682.40 : x
  2. Step 2: Convert to fraction form
    319,098.40/478,647.60 = 194,682.40/x
  3. Step 3: Cross multiply
    319,098.40x = 478,647.60 × 194,682.40
  4. Step 4: Simplify right side
    319,098.40x = 93,184,263,522.24
  5. Step 5: Solve for x
    x = 93,184,263,522.24/319,098.40
  6. Step 6: Final answer
    x = 292,023.60

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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.