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Finding the Fourth Proportional to 343,263.52, 514,929.89 and 90,561.48

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Solution

The fourth proportional to 343,263.52, 514,929.89 and 90,561.48 is: 135,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,263.52 : 514,929.89 = 90,561.48 : x
  2. Step 2: Convert to fraction form
    343,263.52/514,929.89 = 90,561.48/x
  3. Step 3: Cross multiply
    343,263.52x = 514,929.89 × 90,561.48
  4. Step 4: Simplify right side
    343,263.52x = 46,632,812,934.64
  5. Step 5: Solve for x
    x = 46,632,812,934.64/343,263.52
  6. Step 6: Final answer
    x = 135,851.35

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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.