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Finding the Fourth Proportional to 384,765.60, 577,148.40 and 319,229.60

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Solution

The fourth proportional to 384,765.60, 577,148.40 and 319,229.60 is: 478,844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,765.60 : 577,148.40 = 319,229.60 : x
  2. Step 2: Convert to fraction form
    384,765.60/577,148.40 = 319,229.60/x
  3. Step 3: Cross multiply
    384,765.60x = 577,148.40 × 319,229.60
  4. Step 4: Simplify right side
    384,765.60x = 184,242,852,872.64
  5. Step 5: Solve for x
    x = 184,242,852,872.64/384,765.60
  6. Step 6: Final answer
    x = 478,844.40

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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.