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Finding the Fourth Proportional to 501,564.60, 692,159.12 and 286,709.28

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Solution

The fourth proportional to 501,564.60, 692,159.12 and 286,709.28 is: 395,658.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,564.60 : 692,159.12 = 286,709.28 : x
  2. Step 2: Convert to fraction form
    501,564.60/692,159.12 = 286,709.28/x
  3. Step 3: Cross multiply
    501,564.60x = 692,159.12 × 286,709.28
  4. Step 4: Simplify right side
    501,564.60x = 198,448,441,507.09
  5. Step 5: Solve for x
    x = 198,448,441,507.09/501,564.60
  6. Step 6: Final answer
    x = 395,658.79

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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.