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Finding the Fourth Proportional to 1,315,904.10, 1,973,920.95 and 686,048.10

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Solution

The fourth proportional to 1,315,904.10, 1,973,920.95 and 686,048.10 is: 1,029,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315,904.10 : 1,973,920.95 = 686,048.10 : x
  2. Step 2: Convert to fraction form
    1,315,904.10/1,973,920.95 = 686,048.10/x
  3. Step 3: Cross multiply
    1,315,904.10x = 1,973,920.95 × 686,048.10
  4. Step 4: Simplify right side
    1,315,904.10x = 1,354,204,717,297.69
  5. Step 5: Solve for x
    x = 1,354,204,717,297.69/1,315,904.10
  6. Step 6: Final answer
    x = 1,029,105.93

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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.