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Finding the Fourth Proportional to 384,761.60, 577,142.40 and 319,225.60

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Solution

The fourth proportional to 384,761.60, 577,142.40 and 319,225.60 is: 478,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,761.60 : 577,142.40 = 319,225.60 : x
  2. Step 2: Convert to fraction form
    384,761.60/577,142.40 = 319,225.60/x
  3. Step 3: Cross multiply
    384,761.60x = 577,142.40 × 319,225.60
  4. Step 4: Simplify right side
    384,761.60x = 184,238,628,925.44
  5. Step 5: Solve for x
    x = 184,238,628,925.44/384,761.60
  6. Step 6: Final answer
    x = 478,838.40

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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.