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Finding the Fourth Proportional to 673,776,019.20, 1,010,664,028.80 and 411,881,894.40

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Solution

The fourth proportional to 673,776,019.20, 1,010,664,028.80 and 411,881,894.40 is: 617,822,841.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,776,019.20 : 1,010,664,028.80 = 411,881,894.40 : x
  2. Step 2: Convert to fraction form
    673,776,019.20/1,010,664,028.80 = 411,881,894.40/x
  3. Step 3: Cross multiply
    673,776,019.20x = 1,010,664,028.80 × 411,881,894.40
  4. Step 4: Simplify right side
    673,776,019.20x = 416,274,214,784,080,128
  5. Step 5: Solve for x
    x = 416,274,214,784,080,128/673,776,019.20
  6. Step 6: Final answer
    x = 617,822,841.60

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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.