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Finding the Fourth Proportional to 386,492.60, 578,864.10 and 229,028.60

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Solution

The fourth proportional to 386,492.60, 578,864.10 and 229,028.60 is: 343,024.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,492.60 : 578,864.10 = 229,028.60 : x
  2. Step 2: Convert to fraction form
    386,492.60/578,864.10 = 229,028.60/x
  3. Step 3: Cross multiply
    386,492.60x = 578,864.10 × 229,028.60
  4. Step 4: Simplify right side
    386,492.60x = 132,576,434,413.26
  5. Step 5: Solve for x
    x = 132,576,434,413.26/386,492.60
  6. Step 6: Final answer
    x = 343,024.51

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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.