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Finding the Fourth Proportional to 501,577.57, 692,177.06 and 286,722.43

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Solution

The fourth proportional to 501,577.57, 692,177.06 and 286,722.43 is: 395,676.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,577.57 : 692,177.06 = 286,722.43 : x
  2. Step 2: Convert to fraction form
    501,577.57/692,177.06 = 286,722.43/x
  3. Step 3: Cross multiply
    501,577.57x = 692,177.06 × 286,722.43
  4. Step 4: Simplify right side
    501,577.57x = 198,462,688,633.46
  5. Step 5: Solve for x
    x = 198,462,688,633.46/501,577.57
  6. Step 6: Final answer
    x = 395,676.96

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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.