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Finding the Fourth Proportional to 507,871.10, 700,869.96 and 278,450.34

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Solution

The fourth proportional to 507,871.10, 700,869.96 and 278,450.34 is: 384,265.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,871.10 : 700,869.96 = 278,450.34 : x
  2. Step 2: Convert to fraction form
    507,871.10/700,869.96 = 278,450.34/x
  3. Step 3: Cross multiply
    507,871.10x = 700,869.96 × 278,450.34
  4. Step 4: Simplify right side
    507,871.10x = 195,157,478,657.79
  5. Step 5: Solve for x
    x = 195,157,478,657.79/507,871.10
  6. Step 6: Final answer
    x = 384,265.77

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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.