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Finding the Fourth Proportional to 319,051.53, 478,653.66 and 91,350.32

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Solution

The fourth proportional to 319,051.53, 478,653.66 and 91,350.32 is: 137,047.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,051.53 : 478,653.66 = 91,350.32 : x
  2. Step 2: Convert to fraction form
    319,051.53/478,653.66 = 91,350.32/x
  3. Step 3: Cross multiply
    319,051.53x = 478,653.66 × 91,350.32
  4. Step 4: Simplify right side
    319,051.53x = 43,725,165,010.17
  5. Step 5: Solve for x
    x = 43,725,165,010.17/319,051.53
  6. Step 6: Final answer
    x = 137,047.34

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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.