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Finding the Fourth Proportional to 402,408,017.60, 603,612,026.40 and 129,806,340.80

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Solution

The fourth proportional to 402,408,017.60, 603,612,026.40 and 129,806,340.80 is: 194,709,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,408,017.60 : 603,612,026.40 = 129,806,340.80 : x
  2. Step 2: Convert to fraction form
    402,408,017.60/603,612,026.40 = 129,806,340.80/x
  3. Step 3: Cross multiply
    402,408,017.60x = 603,612,026.40 × 129,806,340.80
  4. Step 4: Simplify right side
    402,408,017.60x = 78,352,668,409,856,992
  5. Step 5: Solve for x
    x = 78,352,668,409,856,992/402,408,017.60
  6. Step 6: Final answer
    x = 194,709,511.20

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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.