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Finding the Fourth Proportional to 821,104, 1,133,058.21 and 458,506.21

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Solution

The fourth proportional to 821,104, 1,133,058.21 and 458,506.21 is: 632,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,104 : 1,133,058.21 = 458,506.21 : x
  2. Step 2: Convert to fraction form
    821,104/1,133,058.21 = 458,506.21/x
  3. Step 3: Cross multiply
    821,104x = 1,133,058.21 × 458,506.21
  4. Step 4: Simplify right side
    821,104x = 519,514,225,576.48
  5. Step 5: Solve for x
    x = 519,514,225,576.48/821,104
  6. Step 6: Final answer
    x = 632,702.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.