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Finding the Fourth Proportional to 519,406.40, 778,879.20 and 238,779.20

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Solution

The fourth proportional to 519,406.40, 778,879.20 and 238,779.20 is: 358,062.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,406.40 : 778,879.20 = 238,779.20 : x
  2. Step 2: Convert to fraction form
    519,406.40/778,879.20 = 238,779.20/x
  3. Step 3: Cross multiply
    519,406.40x = 778,879.20 × 238,779.20
  4. Step 4: Simplify right side
    519,406.40x = 185,980,152,272.64
  5. Step 5: Solve for x
    x = 185,980,152,272.64/519,406.40
  6. Step 6: Final answer
    x = 358,062.88

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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.