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Finding the Fourth Proportional to 319,051.62, 478,621.17 and 141,554.70

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Solution

The fourth proportional to 319,051.62, 478,621.17 and 141,554.70 is: 212,351.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,051.62 : 478,621.17 = 141,554.70 : x
  2. Step 2: Convert to fraction form
    319,051.62/478,621.17 = 141,554.70/x
  3. Step 3: Cross multiply
    319,051.62x = 478,621.17 × 141,554.70
  4. Step 4: Simplify right side
    319,051.62x = 67,751,076,133.00
  5. Step 5: Solve for x
    x = 67,751,076,133.00/319,051.62
  6. Step 6: Final answer
    x = 212,351.46

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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.