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Finding the Fourth Proportional to 389,615.70, 584,423.55 and 256,646.10

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Solution

The fourth proportional to 389,615.70, 584,423.55 and 256,646.10 is: 384,969.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,615.70 : 584,423.55 = 256,646.10 : x
  2. Step 2: Convert to fraction form
    389,615.70/584,423.55 = 256,646.10/x
  3. Step 3: Cross multiply
    389,615.70x = 584,423.55 × 256,646.10
  4. Step 4: Simplify right side
    389,615.70x = 149,990,024,855.66
  5. Step 5: Solve for x
    x = 149,990,024,855.66/389,615.70
  6. Step 6: Final answer
    x = 384,969.15

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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.