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Finding the Fourth Proportional to 519,315.40, 778,827.30 and 164,438.20

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Solution

The fourth proportional to 519,315.40, 778,827.30 and 164,438.20 is: 246,611.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,315.40 : 778,827.30 = 164,438.20 : x
  2. Step 2: Convert to fraction form
    519,315.40/778,827.30 = 164,438.20/x
  3. Step 3: Cross multiply
    519,315.40x = 778,827.30 × 164,438.20
  4. Step 4: Simplify right side
    519,315.40x = 128,068,959,322.86
  5. Step 5: Solve for x
    x = 128,068,959,322.86/519,315.40
  6. Step 6: Final answer
    x = 246,611.13

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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.