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Finding the Fourth Proportional to 1,430,216.92, 1,973,602.02 and 785,664.28

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Solution

The fourth proportional to 1,430,216.92, 1,973,602.02 and 785,664.28 is: 1,084,163.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,216.92 : 1,973,602.02 = 785,664.28 : x
  2. Step 2: Convert to fraction form
    1,430,216.92/1,973,602.02 = 785,664.28/x
  3. Step 3: Cross multiply
    1,430,216.92x = 1,973,602.02 × 785,664.28
  4. Step 4: Simplify right side
    1,430,216.92x = 1,550,588,610,049.85
  5. Step 5: Solve for x
    x = 1,550,588,610,049.85/1,430,216.92
  6. Step 6: Final answer
    x = 1,084,163.24

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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.