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Finding the Fourth Proportional to 420,570.72, 630,855.96 and 232,228.62

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Solution

The fourth proportional to 420,570.72, 630,855.96 and 232,228.62 is: 348,342.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,570.72 : 630,855.96 = 232,228.62 : x
  2. Step 2: Convert to fraction form
    420,570.72/630,855.96 = 232,228.62/x
  3. Step 3: Cross multiply
    420,570.72x = 630,855.96 × 232,228.62
  4. Step 4: Simplify right side
    420,570.72x = 146,502,809,009.58
  5. Step 5: Solve for x
    x = 146,502,809,009.58/420,570.72
  6. Step 6: Final answer
    x = 348,342.86

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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.