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Finding the Fourth Proportional to 430,715.86, 646,217.65 and 190,797.16

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Solution

The fourth proportional to 430,715.86, 646,217.65 and 190,797.16 is: 286,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,715.86 : 646,217.65 = 190,797.16 : x
  2. Step 2: Convert to fraction form
    430,715.86/646,217.65 = 190,797.16/x
  3. Step 3: Cross multiply
    430,715.86x = 646,217.65 × 190,797.16
  4. Step 4: Simplify right side
    430,715.86x = 123,296,492,361.87
  5. Step 5: Solve for x
    x = 123,296,492,361.87/430,715.86
  6. Step 6: Final answer
    x = 286,259.47

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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.