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Finding the Fourth Proportional to 293,578.28, 405,140.10 and 159,442.28

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Solution

The fourth proportional to 293,578.28, 405,140.10 and 159,442.28 is: 220,031.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,578.28 : 405,140.10 = 159,442.28 : x
  2. Step 2: Convert to fraction form
    293,578.28/405,140.10 = 159,442.28/x
  3. Step 3: Cross multiply
    293,578.28x = 405,140.10 × 159,442.28
  4. Step 4: Simplify right side
    293,578.28x = 64,596,461,263.43
  5. Step 5: Solve for x
    x = 64,596,461,263.43/293,578.28
  6. Step 6: Final answer
    x = 220,031.47

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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.