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Finding the Fourth Proportional to 403,137.76, 556,214.68 and 259,980

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Solution

The fourth proportional to 403,137.76, 556,214.68 and 259,980 is: 358,697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,137.76 : 556,214.68 = 259,980 : x
  2. Step 2: Convert to fraction form
    403,137.76/556,214.68 = 259,980/x
  3. Step 3: Cross multiply
    403,137.76x = 556,214.68 × 259,980
  4. Step 4: Simplify right side
    403,137.76x = 144,604,692,506.40
  5. Step 5: Solve for x
    x = 144,604,692,506.40/403,137.76
  6. Step 6: Final answer
    x = 358,697.96

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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.