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Finding the Fourth Proportional to 719,745, 1,078,880.22 and 299,265

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Solution

The fourth proportional to 719,745, 1,078,880.22 and 299,265 is: 448,590.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,745 : 1,078,880.22 = 299,265 : x
  2. Step 2: Convert to fraction form
    719,745/1,078,880.22 = 299,265/x
  3. Step 3: Cross multiply
    719,745x = 1,078,880.22 × 299,265
  4. Step 4: Simplify right side
    719,745x = 322,871,089,038.30
  5. Step 5: Solve for x
    x = 322,871,089,038.30/719,745
  6. Step 6: Final answer
    x = 448,590.94

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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.