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Finding the Fourth Proportional to 397,018.40, 595,399.62 and 130,715.51

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Solution

The fourth proportional to 397,018.40, 595,399.62 and 130,715.51 is: 196,031.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,018.40 : 595,399.62 = 130,715.51 : x
  2. Step 2: Convert to fraction form
    397,018.40/595,399.62 = 130,715.51/x
  3. Step 3: Cross multiply
    397,018.40x = 595,399.62 × 130,715.51
  4. Step 4: Simplify right side
    397,018.40x = 77,827,964,982.11
  5. Step 5: Solve for x
    x = 77,827,964,982.11/397,018.40
  6. Step 6: Final answer
    x = 196,031.13

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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.