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Finding the Fourth Proportional to 299,913.60, 449,870.40 and 286,089.60

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Solution

The fourth proportional to 299,913.60, 449,870.40 and 286,089.60 is: 429,134.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,913.60 : 449,870.40 = 286,089.60 : x
  2. Step 2: Convert to fraction form
    299,913.60/449,870.40 = 286,089.60/x
  3. Step 3: Cross multiply
    299,913.60x = 449,870.40 × 286,089.60
  4. Step 4: Simplify right side
    299,913.60x = 128,703,242,787.84
  5. Step 5: Solve for x
    x = 128,703,242,787.84/299,913.60
  6. Step 6: Final answer
    x = 429,134.40

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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.