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Finding the Fourth Proportional to 420,293.90, 630,373.16 and 120,706.34

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Solution

The fourth proportional to 420,293.90, 630,373.16 and 120,706.34 is: 181,040.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,293.90 : 630,373.16 = 120,706.34 : x
  2. Step 2: Convert to fraction form
    420,293.90/630,373.16 = 120,706.34/x
  3. Step 3: Cross multiply
    420,293.90x = 630,373.16 × 120,706.34
  4. Step 4: Simplify right side
    420,293.90x = 76,090,036,977.83
  5. Step 5: Solve for x
    x = 76,090,036,977.83/420,293.90
  6. Step 6: Final answer
    x = 181,040.07

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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.