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Finding the Fourth Proportional to 491,703.08, 678,740.92 and 384,308.01

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Solution

The fourth proportional to 491,703.08, 678,740.92 and 384,308.01 is: 530,494.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,703.08 : 678,740.92 = 384,308.01 : x
  2. Step 2: Convert to fraction form
    491,703.08/678,740.92 = 384,308.01/x
  3. Step 3: Cross multiply
    491,703.08x = 678,740.92 × 384,308.01
  4. Step 4: Simplify right side
    491,703.08x = 260,845,571,310.00
  5. Step 5: Solve for x
    x = 260,845,571,310.00/491,703.08
  6. Step 6: Final answer
    x = 530,494.08

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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.