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Finding the Fourth Proportional to 491,368.36, 678,181.14 and 307,692.16

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Solution

The fourth proportional to 491,368.36, 678,181.14 and 307,692.16 is: 424,673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,368.36 : 678,181.14 = 307,692.16 : x
  2. Step 2: Convert to fraction form
    491,368.36/678,181.14 = 307,692.16/x
  3. Step 3: Cross multiply
    491,368.36x = 678,181.14 × 307,692.16
  4. Step 4: Simplify right side
    491,368.36x = 208,671,019,837.86
  5. Step 5: Solve for x
    x = 208,671,019,837.86/491,368.36
  6. Step 6: Final answer
    x = 424,673.29

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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.