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Finding the Fourth Proportional to 472,185.36, 651,607.20 and 257,327.28

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Solution

The fourth proportional to 472,185.36, 651,607.20 and 257,327.28 is: 355,106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,185.36 : 651,607.20 = 257,327.28 : x
  2. Step 2: Convert to fraction form
    472,185.36/651,607.20 = 257,327.28/x
  3. Step 3: Cross multiply
    472,185.36x = 651,607.20 × 257,327.28
  4. Step 4: Simplify right side
    472,185.36x = 167,676,308,404.42
  5. Step 5: Solve for x
    x = 167,676,308,404.42/472,185.36
  6. Step 6: Final answer
    x = 355,106.96

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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.