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Finding the Fourth Proportional to 971,868, 1,458,035.82 and 307,020

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Solution

The fourth proportional to 971,868, 1,458,035.82 and 307,020 is: 460,603.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,868 : 1,458,035.82 = 307,020 : x
  2. Step 2: Convert to fraction form
    971,868/1,458,035.82 = 307,020/x
  3. Step 3: Cross multiply
    971,868x = 1,458,035.82 × 307,020
  4. Step 4: Simplify right side
    971,868x = 447,646,157,456.40
  5. Step 5: Solve for x
    x = 447,646,157,456.40/971,868
  6. Step 6: Final answer
    x = 460,603.87

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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.