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Finding the Fourth Proportional to 315,804.24, 473,715 and 105,434.64

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Solution

The fourth proportional to 315,804.24, 473,715 and 105,434.64 is: 158,154.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,804.24 : 473,715 = 105,434.64 : x
  2. Step 2: Convert to fraction form
    315,804.24/473,715 = 105,434.64/x
  3. Step 3: Cross multiply
    315,804.24x = 473,715 × 105,434.64
  4. Step 4: Simplify right side
    315,804.24x = 49,945,970,487.60
  5. Step 5: Solve for x
    x = 49,945,970,487.60/315,804.24
  6. Step 6: Final answer
    x = 158,154.84

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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.