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Finding the Fourth Proportional to 609,057.42, 912,983.48 and 288,646.12

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Solution

The fourth proportional to 609,057.42, 912,983.48 and 288,646.12 is: 432,683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,057.42 : 912,983.48 = 288,646.12 : x
  2. Step 2: Convert to fraction form
    609,057.42/912,983.48 = 288,646.12/x
  3. Step 3: Cross multiply
    609,057.42x = 912,983.48 × 288,646.12
  4. Step 4: Simplify right side
    609,057.42x = 263,529,139,126.10
  5. Step 5: Solve for x
    x = 263,529,139,126.10/609,057.42
  6. Step 6: Final answer
    x = 432,683.57

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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.