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Finding the Fourth Proportional to 475,141.41, 712,823.85 and 138,189.51

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Solution

The fourth proportional to 475,141.41, 712,823.85 and 138,189.51 is: 207,316.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,141.41 : 712,823.85 = 138,189.51 : x
  2. Step 2: Convert to fraction form
    475,141.41/712,823.85 = 138,189.51/x
  3. Step 3: Cross multiply
    475,141.41x = 712,823.85 × 138,189.51
  4. Step 4: Simplify right side
    475,141.41x = 98,504,778,547.81
  5. Step 5: Solve for x
    x = 98,504,778,547.81/475,141.41
  6. Step 6: Final answer
    x = 207,316.76

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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.