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Finding the Fourth Proportional to 445,484.32, 668,158.56 and 145,996

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Solution

The fourth proportional to 445,484.32, 668,158.56 and 145,996 is: 218,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,484.32 : 668,158.56 = 145,996 : x
  2. Step 2: Convert to fraction form
    445,484.32/668,158.56 = 145,996/x
  3. Step 3: Cross multiply
    445,484.32x = 668,158.56 × 145,996
  4. Step 4: Simplify right side
    445,484.32x = 97,548,477,125.76
  5. Step 5: Solve for x
    x = 97,548,477,125.76/445,484.32
  6. Step 6: Final answer
    x = 218,971.74

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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.