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Finding the Fourth Proportional to 1,397,994.94, 1,929,882.54 and 1,053,970.12

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Solution

The fourth proportional to 1,397,994.94, 1,929,882.54 and 1,053,970.12 is: 1,454,968.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,994.94 : 1,929,882.54 = 1,053,970.12 : x
  2. Step 2: Convert to fraction form
    1,397,994.94/1,929,882.54 = 1,053,970.12/x
  3. Step 3: Cross multiply
    1,397,994.94x = 1,929,882.54 × 1,053,970.12
  4. Step 4: Simplify right side
    1,397,994.94x = 2,034,038,532,269.71
  5. Step 5: Solve for x
    x = 2,034,038,532,269.71/1,397,994.94
  6. Step 6: Final answer
    x = 1,454,968.45

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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.