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Finding the Fourth Proportional to 286,829, 430,399.02 and 139,085

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Solution

The fourth proportional to 286,829, 430,399.02 and 139,085 is: 208,702.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,829 : 430,399.02 = 139,085 : x
  2. Step 2: Convert to fraction form
    286,829/430,399.02 = 139,085/x
  3. Step 3: Cross multiply
    286,829x = 430,399.02 × 139,085
  4. Step 4: Simplify right side
    286,829x = 59,862,047,696.70
  5. Step 5: Solve for x
    x = 59,862,047,696.70/286,829
  6. Step 6: Final answer
    x = 208,702.91

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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.