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Finding the Fourth Proportional to 517,910.52, 776,721.06 and 328,088.64

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Solution

The fourth proportional to 517,910.52, 776,721.06 and 328,088.64 is: 492,041.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,910.52 : 776,721.06 = 328,088.64 : x
  2. Step 2: Convert to fraction form
    517,910.52/776,721.06 = 328,088.64/x
  3. Step 3: Cross multiply
    517,910.52x = 776,721.06 × 328,088.64
  4. Step 4: Simplify right side
    517,910.52x = 254,833,356,234.76
  5. Step 5: Solve for x
    x = 254,833,356,234.76/517,910.52
  6. Step 6: Final answer
    x = 492,041.28

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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.