Home / 286,945.16-430,401.12-109,470.10

Finding the Fourth Proportional to 286,945.16, 430,401.12 and 109,470.10

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Solution

The fourth proportional to 286,945.16, 430,401.12 and 109,470.10 is: 164,198.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,945.16 : 430,401.12 = 109,470.10 : x
  2. Step 2: Convert to fraction form
    286,945.16/430,401.12 = 109,470.10/x
  3. Step 3: Cross multiply
    286,945.16x = 430,401.12 × 109,470.10
  4. Step 4: Simplify right side
    286,945.16x = 47,116,053,646.51
  5. Step 5: Solve for x
    x = 47,116,053,646.51/286,945.16
  6. Step 6: Final answer
    x = 164,198.81

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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.