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Finding the Fourth Proportional to 319,089.60, 478,699.20 and 108,748.80

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Solution

The fourth proportional to 319,089.60, 478,699.20 and 108,748.80 is: 163,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,089.60 : 478,699.20 = 108,748.80 : x
  2. Step 2: Convert to fraction form
    319,089.60/478,699.20 = 108,748.80/x
  3. Step 3: Cross multiply
    319,089.60x = 478,699.20 × 108,748.80
  4. Step 4: Simplify right side
    319,089.60x = 52,057,963,560.96
  5. Step 5: Solve for x
    x = 52,057,963,560.96/319,089.60
  6. Step 6: Final answer
    x = 163,145.28

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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.