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Finding the Fourth Proportional to 455,289.20, 683,495.40 and 286,809.20

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Solution

The fourth proportional to 455,289.20, 683,495.40 and 286,809.20 is: 430,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,289.20 : 683,495.40 = 286,809.20 : x
  2. Step 2: Convert to fraction form
    455,289.20/683,495.40 = 286,809.20/x
  3. Step 3: Cross multiply
    455,289.20x = 683,495.40 × 286,809.20
  4. Step 4: Simplify right side
    455,289.20x = 196,032,768,877.68
  5. Step 5: Solve for x
    x = 196,032,768,877.68/455,289.20
  6. Step 6: Final answer
    x = 430,567.58

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1.5x scale

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.