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Finding the Fourth Proportional to 501,496.30, 692,064.89 and 286,640.98

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Solution

The fourth proportional to 501,496.30, 692,064.89 and 286,640.98 is: 395,564.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,496.30 : 692,064.89 = 286,640.98 : x
  2. Step 2: Convert to fraction form
    501,496.30/692,064.89 = 286,640.98/x
  3. Step 3: Cross multiply
    501,496.30x = 692,064.89 × 286,640.98
  4. Step 4: Simplify right side
    501,496.30x = 198,374,157,279.63
  5. Step 5: Solve for x
    x = 198,374,157,279.63/501,496.30
  6. Step 6: Final answer
    x = 395,564.55

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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.