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Finding the Fourth Proportional to 678,792.69, 936,703.62 and 407,010.60

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Solution

The fourth proportional to 678,792.69, 936,703.62 and 407,010.60 is: 561,656.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,792.69 : 936,703.62 = 407,010.60 : x
  2. Step 2: Convert to fraction form
    678,792.69/936,703.62 = 407,010.60/x
  3. Step 3: Cross multiply
    678,792.69x = 936,703.62 × 407,010.60
  4. Step 4: Simplify right side
    678,792.69x = 381,248,302,398.37
  5. Step 5: Solve for x
    x = 381,248,302,398.37/678,792.69
  6. Step 6: Final answer
    x = 561,656.46

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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.