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Finding the Fourth Proportional to 1,856,416.80, 2,781,968.40 and 1,056,007.20

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Solution

The fourth proportional to 1,856,416.80, 2,781,968.40 and 1,056,007.20 is: 1,582,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856,416.80 : 2,781,968.40 = 1,056,007.20 : x
  2. Step 2: Convert to fraction form
    1,856,416.80/2,781,968.40 = 1,056,007.20/x
  3. Step 3: Cross multiply
    1,856,416.80x = 2,781,968.40 × 1,056,007.20
  4. Step 4: Simplify right side
    1,856,416.80x = 2,937,778,660,572.48
  5. Step 5: Solve for x
    x = 2,937,778,660,572.48/1,856,416.80
  6. Step 6: Final answer
    x = 1,582,499.50

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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.