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Finding the Fourth Proportional to 353,564.28, 529,646.58 and 309,241.08

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Solution

The fourth proportional to 353,564.28, 529,646.58 and 309,241.08 is: 463,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,564.28 : 529,646.58 = 309,241.08 : x
  2. Step 2: Convert to fraction form
    353,564.28/529,646.58 = 309,241.08/x
  3. Step 3: Cross multiply
    353,564.28x = 529,646.58 × 309,241.08
  4. Step 4: Simplify right side
    353,564.28x = 163,788,480,417.51
  5. Step 5: Solve for x
    x = 163,788,480,417.51/353,564.28
  6. Step 6: Final answer
    x = 463,249.51

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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.