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Finding the Fourth Proportional to 678,322.76, 936,038.58 and 376,493

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Solution

The fourth proportional to 678,322.76, 936,038.58 and 376,493 is: 519,534.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,322.76 : 936,038.58 = 376,493 : x
  2. Step 2: Convert to fraction form
    678,322.76/936,038.58 = 376,493/x
  3. Step 3: Cross multiply
    678,322.76x = 936,038.58 × 376,493
  4. Step 4: Simplify right side
    678,322.76x = 352,411,973,099.94
  5. Step 5: Solve for x
    x = 352,411,973,099.94/678,322.76
  6. Step 6: Final answer
    x = 519,534.35

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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.