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Finding the Fourth Proportional to 497,886.80, 746,830.20 and 142,912.40

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Solution

The fourth proportional to 497,886.80, 746,830.20 and 142,912.40 is: 214,368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,886.80 : 746,830.20 = 142,912.40 : x
  2. Step 2: Convert to fraction form
    497,886.80/746,830.20 = 142,912.40/x
  3. Step 3: Cross multiply
    497,886.80x = 746,830.20 × 142,912.40
  4. Step 4: Simplify right side
    497,886.80x = 106,731,296,274.48
  5. Step 5: Solve for x
    x = 106,731,296,274.48/497,886.80
  6. Step 6: Final answer
    x = 214,368.60

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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.