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Finding the Fourth Proportional to 521,416.77, 719,183.43 and 478,534.49

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Solution

The fourth proportional to 521,416.77, 719,183.43 and 478,534.49 is: 660,036.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,416.77 : 719,183.43 = 478,534.49 : x
  2. Step 2: Convert to fraction form
    521,416.77/719,183.43 = 478,534.49/x
  3. Step 3: Cross multiply
    521,416.77x = 719,183.43 × 478,534.49
  4. Step 4: Simplify right side
    521,416.77x = 344,154,072,295.58
  5. Step 5: Solve for x
    x = 344,154,072,295.58/521,416.77
  6. Step 6: Final answer
    x = 660,036.45

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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.