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Finding the Fourth Proportional to 501,588.79, 692,192.48 and 286,733.66

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Solution

The fourth proportional to 501,588.79, 692,192.48 and 286,733.66 is: 395,692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,588.79 : 692,192.48 = 286,733.66 : x
  2. Step 2: Convert to fraction form
    501,588.79/692,192.48 = 286,733.66/x
  3. Step 3: Cross multiply
    501,588.79x = 692,192.48 × 286,733.66
  4. Step 4: Simplify right side
    501,588.79x = 198,474,878,320.25
  5. Step 5: Solve for x
    x = 198,474,878,320.25/501,588.79
  6. Step 6: Final answer
    x = 395,692.41

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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.