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Finding the Fourth Proportional to 455,814.60, 684,159.30 and 231,428.40

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Solution

The fourth proportional to 455,814.60, 684,159.30 and 231,428.40 is: 347,364.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,814.60 : 684,159.30 = 231,428.40 : x
  2. Step 2: Convert to fraction form
    455,814.60/684,159.30 = 231,428.40/x
  3. Step 3: Cross multiply
    455,814.60x = 684,159.30 × 231,428.40
  4. Step 4: Simplify right side
    455,814.60x = 158,333,892,144.12
  5. Step 5: Solve for x
    x = 158,333,892,144.12/455,814.60
  6. Step 6: Final answer
    x = 347,364.68

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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.