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Finding the Fourth Proportional to 1,300,497.60, 1,949,968.80 and 670,641.60

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Solution

The fourth proportional to 1,300,497.60, 1,949,968.80 and 670,641.60 is: 1,005,561.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,497.60 : 1,949,968.80 = 670,641.60 : x
  2. Step 2: Convert to fraction form
    1,300,497.60/1,949,968.80 = 670,641.60/x
  3. Step 3: Cross multiply
    1,300,497.60x = 1,949,968.80 × 670,641.60
  4. Step 4: Simplify right side
    1,300,497.60x = 1,307,730,195,982.08
  5. Step 5: Solve for x
    x = 1,307,730,195,982.08/1,300,497.60
  6. Step 6: Final answer
    x = 1,005,561.41

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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.