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Finding the Fourth Proportional to 286,785.36, 430,299 and 153,630

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Solution

The fourth proportional to 286,785.36, 430,299 and 153,630 is: 230,509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,785.36 : 430,299 = 153,630 : x
  2. Step 2: Convert to fraction form
    286,785.36/430,299 = 153,630/x
  3. Step 3: Cross multiply
    286,785.36x = 430,299 × 153,630
  4. Step 4: Simplify right side
    286,785.36x = 66,106,835,370
  5. Step 5: Solve for x
    x = 66,106,835,370/286,785.36
  6. Step 6: Final answer
    x = 230,509.80

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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.