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Finding the Fourth Proportional to 456,012.90, 684,019.35 and 288,051.30

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Solution

The fourth proportional to 456,012.90, 684,019.35 and 288,051.30 is: 432,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,012.90 : 684,019.35 = 288,051.30 : x
  2. Step 2: Convert to fraction form
    456,012.90/684,019.35 = 288,051.30/x
  3. Step 3: Cross multiply
    456,012.90x = 684,019.35 × 288,051.30
  4. Step 4: Simplify right side
    456,012.90x = 197,032,662,992.66
  5. Step 5: Solve for x
    x = 197,032,662,992.66/456,012.90
  6. Step 6: Final answer
    x = 432,076.95

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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.