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Finding the Fourth Proportional to 402,420.30, 555,307.44 and 232,665.36

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Solution

The fourth proportional to 402,420.30, 555,307.44 and 232,665.36 is: 321,059.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,420.30 : 555,307.44 = 232,665.36 : x
  2. Step 2: Convert to fraction form
    402,420.30/555,307.44 = 232,665.36/x
  3. Step 3: Cross multiply
    402,420.30x = 555,307.44 × 232,665.36
  4. Step 4: Simplify right side
    402,420.30x = 129,200,805,438.28
  5. Step 5: Solve for x
    x = 129,200,805,438.28/402,420.30
  6. Step 6: Final answer
    x = 321,059.36

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1.5x scale

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.