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Finding the Fourth Proportional to 399,307.32, 598,795.74 and 162,489.24

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Solution

The fourth proportional to 399,307.32, 598,795.74 and 162,489.24 is: 243,666.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,307.32 : 598,795.74 = 162,489.24 : x
  2. Step 2: Convert to fraction form
    399,307.32/598,795.74 = 162,489.24/x
  3. Step 3: Cross multiply
    399,307.32x = 598,795.74 × 162,489.24
  4. Step 4: Simplify right side
    399,307.32x = 97,297,864,707.84
  5. Step 5: Solve for x
    x = 97,297,864,707.84/399,307.32
  6. Step 6: Final answer
    x = 243,666.62

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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.