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Finding the Fourth Proportional to 1,430,463.06, 1,973,356.92 and 1,042,446.60

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Solution

The fourth proportional to 1,430,463.06, 1,973,356.92 and 1,042,446.60 is: 1,438,079.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,463.06 : 1,973,356.92 = 1,042,446.60 : x
  2. Step 2: Convert to fraction form
    1,430,463.06/1,973,356.92 = 1,042,446.60/x
  3. Step 3: Cross multiply
    1,430,463.06x = 1,973,356.92 × 1,042,446.60
  4. Step 4: Simplify right side
    1,430,463.06x = 2,057,119,211,840.47
  5. Step 5: Solve for x
    x = 2,057,119,211,840.47/1,430,463.06
  6. Step 6: Final answer
    x = 1,438,079.23

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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.