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Finding the Fourth Proportional to 1,285,773.84, 1,922,984.28 and 778,934.16

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Solution

The fourth proportional to 1,285,773.84, 1,922,984.28 and 778,934.16 is: 1,164,962.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,773.84 : 1,922,984.28 = 778,934.16 : x
  2. Step 2: Convert to fraction form
    1,285,773.84/1,922,984.28 = 778,934.16/x
  3. Step 3: Cross multiply
    1,285,773.84x = 1,922,984.28 × 778,934.16
  4. Step 4: Simplify right side
    1,285,773.84x = 1,497,878,144,835.01
  5. Step 5: Solve for x
    x = 1,497,878,144,835.01/1,285,773.84
  6. Step 6: Final answer
    x = 1,164,962.37

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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.