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Finding the Fourth Proportional to 501,697.84, 692,343.48 and 286,842.40

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Solution

The fourth proportional to 501,697.84, 692,343.48 and 286,842.40 is: 395,842.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,697.84 : 692,343.48 = 286,842.40 : x
  2. Step 2: Convert to fraction form
    501,697.84/692,343.48 = 286,842.40/x
  3. Step 3: Cross multiply
    501,697.84x = 692,343.48 × 286,842.40
  4. Step 4: Simplify right side
    501,697.84x = 198,593,467,368.64
  5. Step 5: Solve for x
    x = 198,593,467,368.64/501,697.84
  6. Step 6: Final answer
    x = 395,842.78

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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.