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Finding the Fourth Proportional to 501,499.49, 692,069.28 and 286,644.16

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Solution

The fourth proportional to 501,499.49, 692,069.28 and 286,644.16 is: 395,568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,499.49 : 692,069.28 = 286,644.16 : x
  2. Step 2: Convert to fraction form
    501,499.49/692,069.28 = 286,644.16/x
  3. Step 3: Cross multiply
    501,499.49x = 692,069.28 × 286,644.16
  4. Step 4: Simplify right side
    501,499.49x = 198,377,617,427.41
  5. Step 5: Solve for x
    x = 198,377,617,427.41/501,499.49
  6. Step 6: Final answer
    x = 395,568.93

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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.