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Finding the Fourth Proportional to 519,306.20, 778,886.40 and 164,356.10

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Solution

The fourth proportional to 519,306.20, 778,886.40 and 164,356.10 is: 246,511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,306.20 : 778,886.40 = 164,356.10 : x
  2. Step 2: Convert to fraction form
    519,306.20/778,886.40 = 164,356.10/x
  3. Step 3: Cross multiply
    519,306.20x = 778,886.40 × 164,356.10
  4. Step 4: Simplify right side
    519,306.20x = 128,014,731,047.04
  5. Step 5: Solve for x
    x = 128,014,731,047.04/519,306.20
  6. Step 6: Final answer
    x = 246,511.08

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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.