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Finding the Fourth Proportional to 282,838.19, 424,146.10 and 102,880.89

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Solution

The fourth proportional to 282,838.19, 424,146.10 and 102,880.89 is: 154,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,838.19 : 424,146.10 = 102,880.89 : x
  2. Step 2: Convert to fraction form
    282,838.19/424,146.10 = 102,880.89/x
  3. Step 3: Cross multiply
    282,838.19x = 424,146.10 × 102,880.89
  4. Step 4: Simplify right side
    282,838.19x = 43,636,528,258.03
  5. Step 5: Solve for x
    x = 43,636,528,258.03/282,838.19
  6. Step 6: Final answer
    x = 154,280.89

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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.