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Finding the Fourth Proportional to 390,969.07, 586,501.90 and 138,197.43

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Solution

The fourth proportional to 390,969.07, 586,501.90 and 138,197.43 is: 207,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,969.07 : 586,501.90 = 138,197.43 : x
  2. Step 2: Convert to fraction form
    390,969.07/586,501.90 = 138,197.43/x
  3. Step 3: Cross multiply
    390,969.07x = 586,501.90 × 138,197.43
  4. Step 4: Simplify right side
    390,969.07x = 81,053,054,924.62
  5. Step 5: Solve for x
    x = 81,053,054,924.62/390,969.07
  6. Step 6: Final answer
    x = 207,313.22

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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.