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Finding the Fourth Proportional to 630,102, 945,590.76 and 256,125.36

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Solution

The fourth proportional to 630,102, 945,590.76 and 256,125.36 is: 384,365.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,102 : 945,590.76 = 256,125.36 : x
  2. Step 2: Convert to fraction form
    630,102/945,590.76 = 256,125.36/x
  3. Step 3: Cross multiply
    630,102x = 945,590.76 × 256,125.36
  4. Step 4: Simplify right side
    630,102x = 242,189,773,817.67
  5. Step 5: Solve for x
    x = 242,189,773,817.67/630,102
  6. Step 6: Final answer
    x = 384,365.98

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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.