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Finding the Fourth Proportional to 208,323.93, 287,407.76 and 154,006.53

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Solution

The fourth proportional to 208,323.93, 287,407.76 and 154,006.53 is: 212,470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,323.93 : 287,407.76 = 154,006.53 : x
  2. Step 2: Convert to fraction form
    208,323.93/287,407.76 = 154,006.53/x
  3. Step 3: Cross multiply
    208,323.93x = 287,407.76 × 154,006.53
  4. Step 4: Simplify right side
    208,323.93x = 44,262,671,042.64
  5. Step 5: Solve for x
    x = 44,262,671,042.64/208,323.93
  6. Step 6: Final answer
    x = 212,470.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.