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Finding the Fourth Proportional to 472,279.88, 651,727.32 and 257,415.44

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Solution

The fourth proportional to 472,279.88, 651,727.32 and 257,415.44 is: 355,223.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,279.88 : 651,727.32 = 257,415.44 : x
  2. Step 2: Convert to fraction form
    472,279.88/651,727.32 = 257,415.44/x
  3. Step 3: Cross multiply
    472,279.88x = 651,727.32 × 257,415.44
  4. Step 4: Simplify right side
    472,279.88x = 167,764,674,837.82
  5. Step 5: Solve for x
    x = 167,764,674,837.82/472,279.88
  6. Step 6: Final answer
    x = 355,223.00

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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.