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Finding the Fourth Proportional to 319,006.56, 478,583.88 and 108,646.32

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Solution

The fourth proportional to 319,006.56, 478,583.88 and 108,646.32 is: 162,994.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,006.56 : 478,583.88 = 108,646.32 : x
  2. Step 2: Convert to fraction form
    319,006.56/478,583.88 = 108,646.32/x
  3. Step 3: Cross multiply
    319,006.56x = 478,583.88 × 108,646.32
  4. Step 4: Simplify right side
    319,006.56x = 51,996,377,373.32
  5. Step 5: Solve for x
    x = 51,996,377,373.32/319,006.56
  6. Step 6: Final answer
    x = 162,994.70

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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.