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Finding the Fourth Proportional to 670,100.40, 1,005,328.80 and 290,858.40

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Solution

The fourth proportional to 670,100.40, 1,005,328.80 and 290,858.40 is: 436,364.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,100.40 : 1,005,328.80 = 290,858.40 : x
  2. Step 2: Convert to fraction form
    670,100.40/1,005,328.80 = 290,858.40/x
  3. Step 3: Cross multiply
    670,100.40x = 1,005,328.80 × 290,858.40
  4. Step 4: Simplify right side
    670,100.40x = 292,408,326,241.92
  5. Step 5: Solve for x
    x = 292,408,326,241.92/670,100.40
  6. Step 6: Final answer
    x = 436,364.95

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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.