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Finding the Fourth Proportional to 507,627.89, 700,527.30 and 278,148.71

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Solution

The fourth proportional to 507,627.89, 700,527.30 and 278,148.71 is: 383,845.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,627.89 : 700,527.30 = 278,148.71 : x
  2. Step 2: Convert to fraction form
    507,627.89/700,527.30 = 278,148.71/x
  3. Step 3: Cross multiply
    507,627.89x = 700,527.30 × 278,148.71
  4. Step 4: Simplify right side
    507,627.89x = 194,850,761,312.15
  5. Step 5: Solve for x
    x = 194,850,761,312.15/507,627.89
  6. Step 6: Final answer
    x = 383,845.66

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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.