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Finding the Fourth Proportional to 402,535.89, 555,986.70 and 293,467.50

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Solution

The fourth proportional to 402,535.89, 555,986.70 and 293,467.50 is: 405,340.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,535.89 : 555,986.70 = 293,467.50 : x
  2. Step 2: Convert to fraction form
    402,535.89/555,986.70 = 293,467.50/x
  3. Step 3: Cross multiply
    402,535.89x = 555,986.70 × 293,467.50
  4. Step 4: Simplify right side
    402,535.89x = 163,164,026,882.25
  5. Step 5: Solve for x
    x = 163,164,026,882.25/402,535.89
  6. Step 6: Final answer
    x = 405,340.32

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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.