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Finding the Fourth Proportional to 456,521.76, 684,411.48 and 190,480.44

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Solution

The fourth proportional to 456,521.76, 684,411.48 and 190,480.44 is: 285,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,521.76 : 684,411.48 = 190,480.44 : x
  2. Step 2: Convert to fraction form
    456,521.76/684,411.48 = 190,480.44/x
  3. Step 3: Cross multiply
    456,521.76x = 684,411.48 × 190,480.44
  4. Step 4: Simplify right side
    456,521.76x = 130,366,999,851.45
  5. Step 5: Solve for x
    x = 130,366,999,851.45/456,521.76
  6. Step 6: Final answer
    x = 285,565.80

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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.