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Finding the Fourth Proportional to 649,391.60, 895,580.16 and 407,696.70

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Solution

The fourth proportional to 649,391.60, 895,580.16 and 407,696.70 is: 562,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,391.60 : 895,580.16 = 407,696.70 : x
  2. Step 2: Convert to fraction form
    649,391.60/895,580.16 = 407,696.70/x
  3. Step 3: Cross multiply
    649,391.60x = 895,580.16 × 407,696.70
  4. Step 4: Simplify right side
    649,391.60x = 365,125,075,817.47
  5. Step 5: Solve for x
    x = 365,125,075,817.47/649,391.60
  6. Step 6: Final answer
    x = 562,257.16

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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.