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Finding the Fourth Proportional to 409,413.64, 564,973.86 and 228,116.20

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Solution

The fourth proportional to 409,413.64, 564,973.86 and 228,116.20 is: 314,790.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,413.64 : 564,973.86 = 228,116.20 : x
  2. Step 2: Convert to fraction form
    409,413.64/564,973.86 = 228,116.20/x
  3. Step 3: Cross multiply
    409,413.64x = 564,973.86 × 228,116.20
  4. Step 4: Simplify right side
    409,413.64x = 128,879,690,042.53
  5. Step 5: Solve for x
    x = 128,879,690,042.53/409,413.64
  6. Step 6: Final answer
    x = 314,790.90

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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.