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Finding the Fourth Proportional to 307,442.40, 424,206 and 186,647.28

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Solution

The fourth proportional to 307,442.40, 424,206 and 186,647.28 is: 257,534.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,442.40 : 424,206 = 186,647.28 : x
  2. Step 2: Convert to fraction form
    307,442.40/424,206 = 186,647.28/x
  3. Step 3: Cross multiply
    307,442.40x = 424,206 × 186,647.28
  4. Step 4: Simplify right side
    307,442.40x = 79,176,896,059.68
  5. Step 5: Solve for x
    x = 79,176,896,059.68/307,442.40
  6. Step 6: Final answer
    x = 257,534.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.