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Finding the Fourth Proportional to 1,429,323.92, 1,972,378.56 and 784,740.48

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Solution

The fourth proportional to 1,429,323.92, 1,972,378.56 and 784,740.48 is: 1,082,893.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,323.92 : 1,972,378.56 = 784,740.48 : x
  2. Step 2: Convert to fraction form
    1,429,323.92/1,972,378.56 = 784,740.48/x
  3. Step 3: Cross multiply
    1,429,323.92x = 1,972,378.56 × 784,740.48
  4. Step 4: Simplify right side
    1,429,323.92x = 1,547,805,297,916.11
  5. Step 5: Solve for x
    x = 1,547,805,297,916.11/1,429,323.92
  6. Step 6: Final answer
    x = 1,082,893.30

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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.