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Finding the Fourth Proportional to 403,014.45, 556,164.57 and 230,929

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Solution

The fourth proportional to 403,014.45, 556,164.57 and 230,929 is: 318,684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,014.45 : 556,164.57 = 230,929 : x
  2. Step 2: Convert to fraction form
    403,014.45/556,164.57 = 230,929/x
  3. Step 3: Cross multiply
    403,014.45x = 556,164.57 × 230,929
  4. Step 4: Simplify right side
    403,014.45x = 128,434,527,985.53
  5. Step 5: Solve for x
    x = 128,434,527,985.53/403,014.45
  6. Step 6: Final answer
    x = 318,684.67

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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.