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Finding the Fourth Proportional to 455,409.60, 683,308.80 and 218,630.40

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Solution

The fourth proportional to 455,409.60, 683,308.80 and 218,630.40 is: 328,038.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,409.60 : 683,308.80 = 218,630.40 : x
  2. Step 2: Convert to fraction form
    455,409.60/683,308.80 = 218,630.40/x
  3. Step 3: Cross multiply
    455,409.60x = 683,308.80 × 218,630.40
  4. Step 4: Simplify right side
    455,409.60x = 149,392,076,267.52
  5. Step 5: Solve for x
    x = 149,392,076,267.52/455,409.60
  6. Step 6: Final answer
    x = 328,038.93

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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.