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Finding the Fourth Proportional to 777,886.64, 1,166,346.12 and 328,376.24

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Solution

The fourth proportional to 777,886.64, 1,166,346.12 and 328,376.24 is: 492,360.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,886.64 : 1,166,346.12 = 328,376.24 : x
  2. Step 2: Convert to fraction form
    777,886.64/1,166,346.12 = 328,376.24/x
  3. Step 3: Cross multiply
    777,886.64x = 1,166,346.12 × 328,376.24
  4. Step 4: Simplify right side
    777,886.64x = 383,000,353,424.19
  5. Step 5: Solve for x
    x = 383,000,353,424.19/777,886.64
  6. Step 6: Final answer
    x = 492,360.11

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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.