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Finding the Fourth Proportional to 501,506, 692,078.27 and 286,650.68

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Solution

The fourth proportional to 501,506, 692,078.27 and 286,650.68 is: 395,577.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,506 : 692,078.27 = 286,650.68 : x
  2. Step 2: Convert to fraction form
    501,506/692,078.27 = 286,650.68/x
  3. Step 3: Cross multiply
    501,506x = 692,078.27 × 286,650.68
  4. Step 4: Simplify right side
    501,506x = 198,384,705,275.47
  5. Step 5: Solve for x
    x = 198,384,705,275.47/501,506
  6. Step 6: Final answer
    x = 395,577.93

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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.