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Finding the Fourth Proportional to 455,989.95, 684,123.36 and 242,721.60

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Solution

The fourth proportional to 455,989.95, 684,123.36 and 242,721.60 is: 364,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,989.95 : 684,123.36 = 242,721.60 : x
  2. Step 2: Convert to fraction form
    455,989.95/684,123.36 = 242,721.60/x
  3. Step 3: Cross multiply
    455,989.95x = 684,123.36 × 242,721.60
  4. Step 4: Simplify right side
    455,989.95x = 166,051,516,536.58
  5. Step 5: Solve for x
    x = 166,051,516,536.58/455,989.95
  6. Step 6: Final answer
    x = 364,156.09

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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.