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Finding the Fourth Proportional to 522,807.54, 721,444.50 and 290,222.52

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Solution

The fourth proportional to 522,807.54, 721,444.50 and 290,222.52 is: 400,490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,807.54 : 721,444.50 = 290,222.52 : x
  2. Step 2: Convert to fraction form
    522,807.54/721,444.50 = 290,222.52/x
  3. Step 3: Cross multiply
    522,807.54x = 721,444.50 × 290,222.52
  4. Step 4: Simplify right side
    522,807.54x = 209,379,440,830.14
  5. Step 5: Solve for x
    x = 209,379,440,830.14/522,807.54
  6. Step 6: Final answer
    x = 400,490.48

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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.