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Finding the Fourth Proportional to 1,346,590, 1,858,294.20 and 742,978

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Solution

The fourth proportional to 1,346,590, 1,858,294.20 and 742,978 is: 1,025,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,590 : 1,858,294.20 = 742,978 : x
  2. Step 2: Convert to fraction form
    1,346,590/1,858,294.20 = 742,978/x
  3. Step 3: Cross multiply
    1,346,590x = 1,858,294.20 × 742,978
  4. Step 4: Simplify right side
    1,346,590x = 1,380,671,708,127.60
  5. Step 5: Solve for x
    x = 1,380,671,708,127.60/1,346,590
  6. Step 6: Final answer
    x = 1,025,309.64

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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.