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Finding the Fourth Proportional to 419,931.76, 630,261.60 and 220,393.12

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Solution

The fourth proportional to 419,931.76, 630,261.60 and 220,393.12 is: 330,780.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,931.76 : 630,261.60 = 220,393.12 : x
  2. Step 2: Convert to fraction form
    419,931.76/630,261.60 = 220,393.12/x
  3. Step 3: Cross multiply
    419,931.76x = 630,261.60 × 220,393.12
  4. Step 4: Simplify right side
    419,931.76x = 138,905,320,440.19
  5. Step 5: Solve for x
    x = 138,905,320,440.19/419,931.76
  6. Step 6: Final answer
    x = 330,780.70

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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.