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Finding the Fourth Proportional to 1,323,009, 1,982,016.24 and 781,649.94

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Solution

The fourth proportional to 1,323,009, 1,982,016.24 and 781,649.94 is: 1,170,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323,009 : 1,982,016.24 = 781,649.94 : x
  2. Step 2: Convert to fraction form
    1,323,009/1,982,016.24 = 781,649.94/x
  3. Step 3: Cross multiply
    1,323,009x = 1,982,016.24 × 781,649.94
  4. Step 4: Simplify right side
    1,323,009x = 1,549,242,875,075.03
  5. Step 5: Solve for x
    x = 1,549,242,875,075.03/1,323,009
  6. Step 6: Final answer
    x = 1,170,999.50

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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.