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Finding the Fourth Proportional to 470,375,577.60, 705,563,366.40 and 340,709,222.40

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Solution

The fourth proportional to 470,375,577.60, 705,563,366.40 and 340,709,222.40 is: 511,063,833.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,375,577.60 : 705,563,366.40 = 340,709,222.40 : x
  2. Step 2: Convert to fraction form
    470,375,577.60/705,563,366.40 = 340,709,222.40/x
  3. Step 3: Cross multiply
    470,375,577.60x = 705,563,366.40 × 340,709,222.40
  4. Step 4: Simplify right side
    470,375,577.60x = 240,391,945,920,070,272
  5. Step 5: Solve for x
    x = 240,391,945,920,070,272/470,375,577.60
  6. Step 6: Final answer
    x = 511,063,833.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.