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Finding the Fourth Proportional to 305,658.63, 458,427.20 and 153,815.22

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Solution

The fourth proportional to 305,658.63, 458,427.20 and 153,815.22 is: 230,692.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,658.63 : 458,427.20 = 153,815.22 : x
  2. Step 2: Convert to fraction form
    305,658.63/458,427.20 = 153,815.22/x
  3. Step 3: Cross multiply
    305,658.63x = 458,427.20 × 153,815.22
  4. Step 4: Simplify right side
    305,658.63x = 70,513,079,852.91
  5. Step 5: Solve for x
    x = 70,513,079,852.91/305,658.63
  6. Step 6: Final answer
    x = 230,692.26

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1.5x scale

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.