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Finding the Fourth Proportional to 630,254.25, 869,762.70 and 343,784.57

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Solution

The fourth proportional to 630,254.25, 869,762.70 and 343,784.57 is: 474,429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,254.25 : 869,762.70 = 343,784.57 : x
  2. Step 2: Convert to fraction form
    630,254.25/869,762.70 = 343,784.57/x
  3. Step 3: Cross multiply
    630,254.25x = 869,762.70 × 343,784.57
  4. Step 4: Simplify right side
    630,254.25x = 299,010,991,472.73
  5. Step 5: Solve for x
    x = 299,010,991,472.73/630,254.25
  6. Step 6: Final answer
    x = 474,429.16

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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.