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Finding the Fourth Proportional to 881,136, 1,216,071.36 and 523,440

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Solution

The fourth proportional to 881,136, 1,216,071.36 and 523,440 is: 722,408.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    881,136 : 1,216,071.36 = 523,440 : x
  2. Step 2: Convert to fraction form
    881,136/1,216,071.36 = 523,440/x
  3. Step 3: Cross multiply
    881,136x = 1,216,071.36 × 523,440
  4. Step 4: Simplify right side
    881,136x = 636,540,392,678.40
  5. Step 5: Solve for x
    x = 636,540,392,678.40/881,136
  6. Step 6: Final answer
    x = 722,408.79

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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.