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Finding the Fourth Proportional to 630,035.82, 869,430.42 and 343,561.50

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Solution

The fourth proportional to 630,035.82, 869,430.42 and 343,561.50 is: 474,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,035.82 : 869,430.42 = 343,561.50 : x
  2. Step 2: Convert to fraction form
    630,035.82/869,430.42 = 343,561.50/x
  3. Step 3: Cross multiply
    630,035.82x = 869,430.42 × 343,561.50
  4. Step 4: Simplify right side
    630,035.82x = 298,702,819,240.83
  5. Step 5: Solve for x
    x = 298,702,819,240.83/630,035.82
  6. Step 6: Final answer
    x = 474,104.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.