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Finding the Fourth Proportional to 501,642, 692,039.88 and 297,701.51

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Solution

The fourth proportional to 501,642, 692,039.88 and 297,701.51 is: 410,693.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,642 : 692,039.88 = 297,701.51 : x
  2. Step 2: Convert to fraction form
    501,642/692,039.88 = 297,701.51/x
  3. Step 3: Cross multiply
    501,642x = 692,039.88 × 297,701.51
  4. Step 4: Simplify right side
    501,642x = 206,021,313,796.02
  5. Step 5: Solve for x
    x = 206,021,313,796.02/501,642
  6. Step 6: Final answer
    x = 410,693.91

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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.