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Finding the Fourth Proportional to 501,697.59, 692,343.14 and 286,842.15

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Solution

The fourth proportional to 501,697.59, 692,343.14 and 286,842.15 is: 395,842.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,697.59 : 692,343.14 = 286,842.15 : x
  2. Step 2: Convert to fraction form
    501,697.59/692,343.14 = 286,842.15/x
  3. Step 3: Cross multiply
    501,697.59x = 692,343.14 × 286,842.15
  4. Step 4: Simplify right side
    501,697.59x = 198,593,194,815.35
  5. Step 5: Solve for x
    x = 198,593,194,815.35/501,697.59
  6. Step 6: Final answer
    x = 395,842.43

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1.5x scale

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.