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Finding the Fourth Proportional to 312,787.76, 469,075.80 and 102,373.52

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Solution

The fourth proportional to 312,787.76, 469,075.80 and 102,373.52 is: 153,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,787.76 : 469,075.80 = 102,373.52 : x
  2. Step 2: Convert to fraction form
    312,787.76/469,075.80 = 102,373.52/x
  3. Step 3: Cross multiply
    312,787.76x = 469,075.80 × 102,373.52
  4. Step 4: Simplify right side
    312,787.76x = 48,020,940,792.82
  5. Step 5: Solve for x
    x = 48,020,940,792.82/312,787.76
  6. Step 6: Final answer
    x = 153,525.64

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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.