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Finding the Fourth Proportional to 519,000.40, 778,354.80 and 164,123.20

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Solution

The fourth proportional to 519,000.40, 778,354.80 and 164,123.20 is: 246,138.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,000.40 : 778,354.80 = 164,123.20 : x
  2. Step 2: Convert to fraction form
    519,000.40/778,354.80 = 164,123.20/x
  3. Step 3: Cross multiply
    519,000.40x = 778,354.80 × 164,123.20
  4. Step 4: Simplify right side
    519,000.40x = 127,746,080,511.36
  5. Step 5: Solve for x
    x = 127,746,080,511.36/519,000.40
  6. Step 6: Final answer
    x = 246,138.69

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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.