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Finding the Fourth Proportional to 459,742.40, 688,301.40 and 446,620.40

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Solution

The fourth proportional to 459,742.40, 688,301.40 and 446,620.40 is: 668,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,742.40 : 688,301.40 = 446,620.40 : x
  2. Step 2: Convert to fraction form
    459,742.40/688,301.40 = 446,620.40/x
  3. Step 3: Cross multiply
    459,742.40x = 688,301.40 × 446,620.40
  4. Step 4: Simplify right side
    459,742.40x = 307,409,446,588.56
  5. Step 5: Solve for x
    x = 307,409,446,588.56/459,742.40
  6. Step 6: Final answer
    x = 668,655.85

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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.