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Finding the Fourth Proportional to 651,969, 899,719.65 and 380,224.53

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Solution

The fourth proportional to 651,969, 899,719.65 and 380,224.53 is: 524,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,969 : 899,719.65 = 380,224.53 : x
  2. Step 2: Convert to fraction form
    651,969/899,719.65 = 380,224.53/x
  3. Step 3: Cross multiply
    651,969x = 899,719.65 × 380,224.53
  4. Step 4: Simplify right side
    651,969x = 342,095,481,053.02
  5. Step 5: Solve for x
    x = 342,095,481,053.02/651,969
  6. Step 6: Final answer
    x = 524,711.27

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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.