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Finding the Fourth Proportional to 519,345.60, 778,960.80 and 145,406.40

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Solution

The fourth proportional to 519,345.60, 778,960.80 and 145,406.40 is: 218,093.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,345.60 : 778,960.80 = 145,406.40 : x
  2. Step 2: Convert to fraction form
    519,345.60/778,960.80 = 145,406.40/x
  3. Step 3: Cross multiply
    519,345.60x = 778,960.80 × 145,406.40
  4. Step 4: Simplify right side
    519,345.60x = 113,265,885,669.12
  5. Step 5: Solve for x
    x = 113,265,885,669.12/519,345.60
  6. Step 6: Final answer
    x = 218,093.47

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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.