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Finding the Fourth Proportional to 472,225.86, 651,652.69 and 257,361.31

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Solution

The fourth proportional to 472,225.86, 651,652.69 and 257,361.31 is: 355,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,225.86 : 651,652.69 = 257,361.31 : x
  2. Step 2: Convert to fraction form
    472,225.86/651,652.69 = 257,361.31/x
  3. Step 3: Cross multiply
    472,225.86x = 651,652.69 × 257,361.31
  4. Step 4: Simplify right side
    472,225.86x = 167,710,189,963.42
  5. Step 5: Solve for x
    x = 167,710,189,963.42/472,225.86
  6. Step 6: Final answer
    x = 355,148.25

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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.