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Finding the Fourth Proportional to 490,730,702.80, 735,470,863.80 and 260,809,934.80

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Solution

The fourth proportional to 490,730,702.80, 735,470,863.80 and 260,809,934.80 is: 390,882,630.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,730,702.80 : 735,470,863.80 = 260,809,934.80 : x
  2. Step 2: Convert to fraction form
    490,730,702.80/735,470,863.80 = 260,809,934.80/x
  3. Step 3: Cross multiply
    490,730,702.80x = 735,470,863.80 × 260,809,934.80
  4. Step 4: Simplify right side
    490,730,702.80x = 191,818,108,034,977,664
  5. Step 5: Solve for x
    x = 191,818,108,034,977,664/490,730,702.80
  6. Step 6: Final answer
    x = 390,882,630.62

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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.