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Finding the Fourth Proportional to 562,369.68, 776,082.72 and 307,720.80

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Solution

The fourth proportional to 562,369.68, 776,082.72 and 307,720.80 is: 424,661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,369.68 : 776,082.72 = 307,720.80 : x
  2. Step 2: Convert to fraction form
    562,369.68/776,082.72 = 307,720.80/x
  3. Step 3: Cross multiply
    562,369.68x = 776,082.72 × 307,720.80
  4. Step 4: Simplify right side
    562,369.68x = 238,816,795,464.58
  5. Step 5: Solve for x
    x = 238,816,795,464.58/562,369.68
  6. Step 6: Final answer
    x = 424,661.58

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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.