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Finding the Fourth Proportional to 1,346,358.06, 1,857,974.01 and 742,746.06

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Solution

The fourth proportional to 1,346,358.06, 1,857,974.01 and 742,746.06 is: 1,024,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,358.06 : 1,857,974.01 = 742,746.06 : x
  2. Step 2: Convert to fraction form
    1,346,358.06/1,857,974.01 = 742,746.06/x
  3. Step 3: Cross multiply
    1,346,358.06x = 1,857,974.01 × 742,746.06
  4. Step 4: Simplify right side
    1,346,358.06x = 1,380,002,875,509.90
  5. Step 5: Solve for x
    x = 1,380,002,875,509.90/1,346,358.06
  6. Step 6: Final answer
    x = 1,024,989.50

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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.