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Finding the Fourth Proportional to 472,361.76, 651,835.08 and 257,480.64

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Solution

The fourth proportional to 472,361.76, 651,835.08 and 257,480.64 is: 355,310.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,361.76 : 651,835.08 = 257,480.64 : x
  2. Step 2: Convert to fraction form
    472,361.76/651,835.08 = 257,480.64/x
  3. Step 3: Cross multiply
    472,361.76x = 651,835.08 × 257,480.64
  4. Step 4: Simplify right side
    472,361.76x = 167,834,913,572.85
  5. Step 5: Solve for x
    x = 167,834,913,572.85/472,361.76
  6. Step 6: Final answer
    x = 355,310.12

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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.