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Finding the Fourth Proportional to 648,106.98, 894,437.82 and 357,775.44

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Solution

The fourth proportional to 648,106.98, 894,437.82 and 357,775.44 is: 493,757.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,106.98 : 894,437.82 = 357,775.44 : x
  2. Step 2: Convert to fraction form
    648,106.98/894,437.82 = 357,775.44/x
  3. Step 3: Cross multiply
    648,106.98x = 894,437.82 × 357,775.44
  4. Step 4: Simplify right side
    648,106.98x = 320,007,884,603.14
  5. Step 5: Solve for x
    x = 320,007,884,603.14/648,106.98
  6. Step 6: Final answer
    x = 493,757.81

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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.