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Finding the Fourth Proportional to 501,693.36, 692,337.32 and 286,837.94

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Solution

The fourth proportional to 501,693.36, 692,337.32 and 286,837.94 is: 395,836.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,693.36 : 692,337.32 = 286,837.94 : x
  2. Step 2: Convert to fraction form
    501,693.36/692,337.32 = 286,837.94/x
  3. Step 3: Cross multiply
    501,693.36x = 692,337.32 × 286,837.94
  4. Step 4: Simplify right side
    501,693.36x = 198,588,605,758.05
  5. Step 5: Solve for x
    x = 198,588,605,758.05/501,693.36
  6. Step 6: Final answer
    x = 395,836.62

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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.