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Finding the Fourth Proportional to 514,363.96, 771,264.06 and 159,279.40

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Solution

The fourth proportional to 514,363.96, 771,264.06 and 159,279.40 is: 238,831.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,363.96 : 771,264.06 = 159,279.40 : x
  2. Step 2: Convert to fraction form
    514,363.96/771,264.06 = 159,279.40/x
  3. Step 3: Cross multiply
    514,363.96x = 771,264.06 × 159,279.40
  4. Step 4: Simplify right side
    514,363.96x = 122,846,476,718.36
  5. Step 5: Solve for x
    x = 122,846,476,718.36/514,363.96
  6. Step 6: Final answer
    x = 238,831.81

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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.