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Finding the Fourth Proportional to 385,971.84, 578,974 and 105,488.32

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Solution

The fourth proportional to 385,971.84, 578,974 and 105,488.32 is: 158,236.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,971.84 : 578,974 = 105,488.32 : x
  2. Step 2: Convert to fraction form
    385,971.84/578,974 = 105,488.32/x
  3. Step 3: Cross multiply
    385,971.84x = 578,974 × 105,488.32
  4. Step 4: Simplify right side
    385,971.84x = 61,074,994,583.68
  5. Step 5: Solve for x
    x = 61,074,994,583.68/385,971.84
  6. Step 6: Final answer
    x = 158,236.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.