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Finding the Fourth Proportional to 305,787.40, 458,681.10 and 299,226.40

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Solution

The fourth proportional to 305,787.40, 458,681.10 and 299,226.40 is: 448,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,787.40 : 458,681.10 = 299,226.40 : x
  2. Step 2: Convert to fraction form
    305,787.40/458,681.10 = 299,226.40/x
  3. Step 3: Cross multiply
    305,787.40x = 458,681.10 × 299,226.40
  4. Step 4: Simplify right side
    305,787.40x = 137,249,494,301.04
  5. Step 5: Solve for x
    x = 137,249,494,301.04/305,787.40
  6. Step 6: Final answer
    x = 448,839.60

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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.