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Finding the Fourth Proportional to 390,870.10, 586,406.24 and 228,900.94

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Solution

The fourth proportional to 390,870.10, 586,406.24 and 228,900.94 is: 343,410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,870.10 : 586,406.24 = 228,900.94 : x
  2. Step 2: Convert to fraction form
    390,870.10/586,406.24 = 228,900.94/x
  3. Step 3: Cross multiply
    390,870.10x = 586,406.24 × 228,900.94
  4. Step 4: Simplify right side
    390,870.10x = 134,228,938,413.36
  5. Step 5: Solve for x
    x = 134,228,938,413.36/390,870.10
  6. Step 6: Final answer
    x = 343,410.61

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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.