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Finding the Fourth Proportional to 315,167.76, 472,707.09 and 90,547.47

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Solution

The fourth proportional to 315,167.76, 472,707.09 and 90,547.47 is: 135,808.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,167.76 : 472,707.09 = 90,547.47 : x
  2. Step 2: Convert to fraction form
    315,167.76/472,707.09 = 90,547.47/x
  3. Step 3: Cross multiply
    315,167.76x = 472,707.09 × 90,547.47
  4. Step 4: Simplify right side
    315,167.76x = 42,802,431,050.56
  5. Step 5: Solve for x
    x = 42,802,431,050.56/315,167.76
  6. Step 6: Final answer
    x = 135,808.41

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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.