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Finding the Fourth Proportional to 389,439.10, 584,389.05 and 256,703.10

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Solution

The fourth proportional to 389,439.10, 584,389.05 and 256,703.10 is: 385,206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,439.10 : 584,389.05 = 256,703.10 : x
  2. Step 2: Convert to fraction form
    389,439.10/584,389.05 = 256,703.10/x
  3. Step 3: Cross multiply
    389,439.10x = 584,389.05 × 256,703.10
  4. Step 4: Simplify right side
    389,439.10x = 150,014,480,741.06
  5. Step 5: Solve for x
    x = 150,014,480,741.06/389,439.10
  6. Step 6: Final answer
    x = 385,206.52

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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.