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Finding the Fourth Proportional to 642,406.14, 886,483.44 and 355,909.14

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Solution

The fourth proportional to 642,406.14, 886,483.44 and 355,909.14 is: 491,134.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,406.14 : 886,483.44 = 355,909.14 : x
  2. Step 2: Convert to fraction form
    642,406.14/886,483.44 = 355,909.14/x
  3. Step 3: Cross multiply
    642,406.14x = 886,483.44 × 355,909.14
  4. Step 4: Simplify right side
    642,406.14x = 315,507,558,754.64
  5. Step 5: Solve for x
    x = 315,507,558,754.64/642,406.14
  6. Step 6: Final answer
    x = 491,134.10

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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.