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Finding the Fourth Proportional to 316,051.68, 473,978.70 and 105,640.41

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Solution

The fourth proportional to 316,051.68, 473,978.70 and 105,640.41 is: 158,427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,051.68 : 473,978.70 = 105,640.41 : x
  2. Step 2: Convert to fraction form
    316,051.68/473,978.70 = 105,640.41/x
  3. Step 3: Cross multiply
    316,051.68x = 473,978.70 × 105,640.41
  4. Step 4: Simplify right side
    316,051.68x = 50,071,304,199.27
  5. Step 5: Solve for x
    x = 50,071,304,199.27/316,051.68
  6. Step 6: Final answer
    x = 158,427.58

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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.