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Finding the Fourth Proportional to 657,052.95, 906,927 and 385,179.69

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Solution

The fourth proportional to 657,052.95, 906,927 and 385,179.69 is: 531,661.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,052.95 : 906,927 = 385,179.69 : x
  2. Step 2: Convert to fraction form
    657,052.95/906,927 = 385,179.69/x
  3. Step 3: Cross multiply
    657,052.95x = 906,927 × 385,179.69
  4. Step 4: Simplify right side
    657,052.95x = 349,329,860,712.63
  5. Step 5: Solve for x
    x = 349,329,860,712.63/657,052.95
  6. Step 6: Final answer
    x = 531,661.66

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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.