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Finding the Fourth Proportional to 407,408.70, 610,870.05 and 249,750.30

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Solution

The fourth proportional to 407,408.70, 610,870.05 and 249,750.30 is: 374,476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,408.70 : 610,870.05 = 249,750.30 : x
  2. Step 2: Convert to fraction form
    407,408.70/610,870.05 = 249,750.30/x
  3. Step 3: Cross multiply
    407,408.70x = 610,870.05 × 249,750.30
  4. Step 4: Simplify right side
    407,408.70x = 152,564,978,248.52
  5. Step 5: Solve for x
    x = 152,564,978,248.52/407,408.70
  6. Step 6: Final answer
    x = 374,476.49

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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.