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Finding the Fourth Proportional to 336,647.68, 464,742.14 and 209,364.28

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Solution

The fourth proportional to 336,647.68, 464,742.14 and 209,364.28 is: 289,027.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,647.68 : 464,742.14 = 209,364.28 : x
  2. Step 2: Convert to fraction form
    336,647.68/464,742.14 = 209,364.28/x
  3. Step 3: Cross multiply
    336,647.68x = 464,742.14 × 209,364.28
  4. Step 4: Simplify right side
    336,647.68x = 97,300,403,526.76
  5. Step 5: Solve for x
    x = 97,300,403,526.76/336,647.68
  6. Step 6: Final answer
    x = 289,027.40

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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.