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Finding the Fourth Proportional to 577,284.83, 796,618.74 and 319,146.31

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Solution

The fourth proportional to 577,284.83, 796,618.74 and 319,146.31 is: 440,402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,284.83 : 796,618.74 = 319,146.31 : x
  2. Step 2: Convert to fraction form
    577,284.83/796,618.74 = 319,146.31/x
  3. Step 3: Cross multiply
    577,284.83x = 796,618.74 × 319,146.31
  4. Step 4: Simplify right side
    577,284.83x = 254,237,931,347.85
  5. Step 5: Solve for x
    x = 254,237,931,347.85/577,284.83
  6. Step 6: Final answer
    x = 440,402.93

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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.