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Finding the Fourth Proportional to 330,079.64, 495,039.80 and 152,415.86

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Solution

The fourth proportional to 330,079.64, 495,039.80 and 152,415.86 is: 228,587.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,079.64 : 495,039.80 = 152,415.86 : x
  2. Step 2: Convert to fraction form
    330,079.64/495,039.80 = 152,415.86/x
  3. Step 3: Cross multiply
    330,079.64x = 495,039.80 × 152,415.86
  4. Step 4: Simplify right side
    330,079.64x = 75,451,916,851.23
  5. Step 5: Solve for x
    x = 75,451,916,851.23/330,079.64
  6. Step 6: Final answer
    x = 228,587.01

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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.