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Finding the Fourth Proportional to 501,646, 692,045.40 and 297,705.51

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Solution

The fourth proportional to 501,646, 692,045.40 and 297,705.51 is: 410,699.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,646 : 692,045.40 = 297,705.51 : x
  2. Step 2: Convert to fraction form
    501,646/692,045.40 = 297,705.51/x
  3. Step 3: Cross multiply
    501,646x = 692,045.40 × 297,705.51
  4. Step 4: Simplify right side
    501,646x = 206,025,728,750.15
  5. Step 5: Solve for x
    x = 206,025,728,750.15/501,646
  6. Step 6: Final answer
    x = 410,699.43

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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.