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Finding the Fourth Proportional to 1,298,509.78, 1,947,973.97 and 399,951.10

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Solution

The fourth proportional to 1,298,509.78, 1,947,973.97 and 399,951.10 is: 599,991.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,509.78 : 1,947,973.97 = 399,951.10 : x
  2. Step 2: Convert to fraction form
    1,298,509.78/1,947,973.97 = 399,951.10/x
  3. Step 3: Cross multiply
    1,298,509.78x = 1,947,973.97 × 399,951.10
  4. Step 4: Simplify right side
    1,298,509.78x = 779,094,322,333.00
  5. Step 5: Solve for x
    x = 779,094,322,333.00/1,298,509.78
  6. Step 6: Final answer
    x = 599,991.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.