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Finding the Fourth Proportional to 315,931.92, 435,937.32 and 181,770

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Solution

The fourth proportional to 315,931.92, 435,937.32 and 181,770 is: 250,814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,931.92 : 435,937.32 = 181,770 : x
  2. Step 2: Convert to fraction form
    315,931.92/435,937.32 = 181,770/x
  3. Step 3: Cross multiply
    315,931.92x = 435,937.32 × 181,770
  4. Step 4: Simplify right side
    315,931.92x = 79,240,326,656.40
  5. Step 5: Solve for x
    x = 79,240,326,656.40/315,931.92
  6. Step 6: Final answer
    x = 250,814.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.