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Finding the Fourth Proportional to 501,508, 692,081.02 and 286,652.68

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Solution

The fourth proportional to 501,508, 692,081.02 and 286,652.68 is: 395,580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,508 : 692,081.02 = 286,652.68 : x
  2. Step 2: Convert to fraction form
    501,508/692,081.02 = 286,652.68/x
  3. Step 3: Cross multiply
    501,508x = 692,081.02 × 286,652.68
  4. Step 4: Simplify right side
    501,508x = 198,386,879,160.13
  5. Step 5: Solve for x
    x = 198,386,879,160.13/501,508
  6. Step 6: Final answer
    x = 395,580.69

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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.