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Finding the Fourth Proportional to 472,261.62, 651,721.53 and 257,401.86

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Solution

The fourth proportional to 472,261.62, 651,721.53 and 257,401.86 is: 355,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,261.62 : 651,721.53 = 257,401.86 : x
  2. Step 2: Convert to fraction form
    472,261.62/651,721.53 = 257,401.86/x
  3. Step 3: Cross multiply
    472,261.62x = 651,721.53 × 257,401.86
  4. Step 4: Simplify right side
    472,261.62x = 167,754,334,024.05
  5. Step 5: Solve for x
    x = 167,754,334,024.05/472,261.62
  6. Step 6: Final answer
    x = 355,214.84

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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.