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Finding the Fourth Proportional to 477,792, 716,817.60 and 145,368

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Solution

The fourth proportional to 477,792, 716,817.60 and 145,368 is: 218,091.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,792 : 716,817.60 = 145,368 : x
  2. Step 2: Convert to fraction form
    477,792/716,817.60 = 145,368/x
  3. Step 3: Cross multiply
    477,792x = 716,817.60 × 145,368
  4. Step 4: Simplify right side
    477,792x = 104,202,340,876.80
  5. Step 5: Solve for x
    x = 104,202,340,876.80/477,792
  6. Step 6: Final answer
    x = 218,091.43

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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.