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Finding the Fourth Proportional to 723,294, 1,085,013.12 and 268,007.28

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Solution

The fourth proportional to 723,294, 1,085,013.12 and 268,007.28 is: 402,037.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,294 : 1,085,013.12 = 268,007.28 : x
  2. Step 2: Convert to fraction form
    723,294/1,085,013.12 = 268,007.28/x
  3. Step 3: Cross multiply
    723,294x = 1,085,013.12 × 268,007.28
  4. Step 4: Simplify right side
    723,294x = 290,791,415,055.51
  5. Step 5: Solve for x
    x = 290,791,415,055.51/723,294
  6. Step 6: Final answer
    x = 402,037.64

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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.