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Finding the Fourth Proportional to 368,406.48, 508,365 and 207,258.12

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Solution

The fourth proportional to 368,406.48, 508,365 and 207,258.12 is: 285,995.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,406.48 : 508,365 = 207,258.12 : x
  2. Step 2: Convert to fraction form
    368,406.48/508,365 = 207,258.12/x
  3. Step 3: Cross multiply
    368,406.48x = 508,365 × 207,258.12
  4. Step 4: Simplify right side
    368,406.48x = 105,362,774,173.80
  5. Step 5: Solve for x
    x = 105,362,774,173.80/368,406.48
  6. Step 6: Final answer
    x = 285,995.99

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1.5x scale

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.