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Finding the Fourth Proportional to 420,830.80, 630,870.36 and 154,529.44

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Solution

The fourth proportional to 420,830.80, 630,870.36 and 154,529.44 is: 231,656.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,830.80 : 630,870.36 = 154,529.44 : x
  2. Step 2: Convert to fraction form
    420,830.80/630,870.36 = 154,529.44/x
  3. Step 3: Cross multiply
    420,830.80x = 630,870.36 × 154,529.44
  4. Step 4: Simplify right side
    420,830.80x = 97,488,043,443.40
  5. Step 5: Solve for x
    x = 97,488,043,443.40/420,830.80
  6. Step 6: Final answer
    x = 231,656.15

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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.