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Finding the Fourth Proportional to 971,869, 1,458,037.32 and 307,021

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Solution

The fourth proportional to 971,869, 1,458,037.32 and 307,021 is: 460,605.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,869 : 1,458,037.32 = 307,021 : x
  2. Step 2: Convert to fraction form
    971,869/1,458,037.32 = 307,021/x
  3. Step 3: Cross multiply
    971,869x = 1,458,037.32 × 307,021
  4. Step 4: Simplify right side
    971,869x = 447,648,076,023.72
  5. Step 5: Solve for x
    x = 447,648,076,023.72/971,869
  6. Step 6: Final answer
    x = 460,605.37

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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.