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Finding the Fourth Proportional to 345,903.60, 518,855.40 and 307,412.40

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Solution

The fourth proportional to 345,903.60, 518,855.40 and 307,412.40 is: 461,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,903.60 : 518,855.40 = 307,412.40 : x
  2. Step 2: Convert to fraction form
    345,903.60/518,855.40 = 307,412.40/x
  3. Step 3: Cross multiply
    345,903.60x = 518,855.40 × 307,412.40
  4. Step 4: Simplify right side
    345,903.60x = 159,502,583,766.96
  5. Step 5: Solve for x
    x = 159,502,583,766.96/345,903.60
  6. Step 6: Final answer
    x = 461,118.60

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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.