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Finding the Fourth Proportional to 1,297,358.22, 1,946,223.06 and 398,875.40

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Solution

The fourth proportional to 1,297,358.22, 1,946,223.06 and 398,875.40 is: 598,370.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,358.22 : 1,946,223.06 = 398,875.40 : x
  2. Step 2: Convert to fraction form
    1,297,358.22/1,946,223.06 = 398,875.40/x
  3. Step 3: Cross multiply
    1,297,358.22x = 1,946,223.06 × 398,875.40
  4. Step 4: Simplify right side
    1,297,358.22x = 776,300,501,546.72
  5. Step 5: Solve for x
    x = 776,300,501,546.72/1,297,358.22
  6. Step 6: Final answer
    x = 598,370.20

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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.