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Finding the Fourth Proportional to 519,215.60, 778,765.80 and 145,276.40

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Solution

The fourth proportional to 519,215.60, 778,765.80 and 145,276.40 is: 217,898.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,215.60 : 778,765.80 = 145,276.40 : x
  2. Step 2: Convert to fraction form
    519,215.60/778,765.80 = 145,276.40/x
  3. Step 3: Cross multiply
    519,215.60x = 778,765.80 × 145,276.40
  4. Step 4: Simplify right side
    519,215.60x = 113,136,291,867.12
  5. Step 5: Solve for x
    x = 113,136,291,867.12/519,215.60
  6. Step 6: Final answer
    x = 217,898.48

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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.