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Finding the Fourth Proportional to 519,594.48, 779,421.96 and 145,646.64

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Solution

The fourth proportional to 519,594.48, 779,421.96 and 145,646.64 is: 218,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,594.48 : 779,421.96 = 145,646.64 : x
  2. Step 2: Convert to fraction form
    519,594.48/779,421.96 = 145,646.64/x
  3. Step 3: Cross multiply
    519,594.48x = 779,421.96 × 145,646.64
  4. Step 4: Simplify right side
    519,594.48x = 113,520,189,616.21
  5. Step 5: Solve for x
    x = 113,520,189,616.21/519,594.48
  6. Step 6: Final answer
    x = 218,478.44

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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.