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Finding the Fourth Proportional to 501,497.78, 692,066.93 and 286,642.46

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Solution

The fourth proportional to 501,497.78, 692,066.93 and 286,642.46 is: 395,566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,497.78 : 692,066.93 = 286,642.46 : x
  2. Step 2: Convert to fraction form
    501,497.78/692,066.93 = 286,642.46/x
  3. Step 3: Cross multiply
    501,497.78x = 692,066.93 × 286,642.46
  4. Step 4: Simplify right side
    501,497.78x = 198,375,763,839.51
  5. Step 5: Solve for x
    x = 198,375,763,839.51/501,497.78
  6. Step 6: Final answer
    x = 395,566.59

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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.