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Finding the Fourth Proportional to 501,578.07, 692,177.75 and 286,722.93

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Solution

The fourth proportional to 501,578.07, 692,177.75 and 286,722.93 is: 395,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,578.07 : 692,177.75 = 286,722.93 : x
  2. Step 2: Convert to fraction form
    501,578.07/692,177.75 = 286,722.93/x
  3. Step 3: Cross multiply
    501,578.07x = 692,177.75 × 286,722.93
  4. Step 4: Simplify right side
    501,578.07x = 198,463,232,560.81
  5. Step 5: Solve for x
    x = 198,463,232,560.81/501,578.07
  6. Step 6: Final answer
    x = 395,677.65

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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.