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Finding the Fourth Proportional to 472,228.91, 651,656.92 and 257,364.37

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Solution

The fourth proportional to 472,228.91, 651,656.92 and 257,364.37 is: 355,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,228.91 : 651,656.92 = 257,364.37 : x
  2. Step 2: Convert to fraction form
    472,228.91/651,656.92 = 257,364.37/x
  3. Step 3: Cross multiply
    472,228.91x = 651,656.92 × 257,364.37
  4. Step 4: Simplify right side
    472,228.91x = 167,713,272,671.94
  5. Step 5: Solve for x
    x = 167,713,272,671.94/472,228.91
  6. Step 6: Final answer
    x = 355,152.49

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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.