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Finding the Fourth Proportional to 303,885.60, 455,828.40 and 286,389.60

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Solution

The fourth proportional to 303,885.60, 455,828.40 and 286,389.60 is: 429,584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,885.60 : 455,828.40 = 286,389.60 : x
  2. Step 2: Convert to fraction form
    303,885.60/455,828.40 = 286,389.60/x
  3. Step 3: Cross multiply
    303,885.60x = 455,828.40 × 286,389.60
  4. Step 4: Simplify right side
    303,885.60x = 130,544,513,144.64
  5. Step 5: Solve for x
    x = 130,544,513,144.64/303,885.60
  6. Step 6: Final answer
    x = 429,584.40

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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.