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Finding the Fourth Proportional to 664,353,973.80, 996,530,960.70 and 435,030,402.60

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Solution

The fourth proportional to 664,353,973.80, 996,530,960.70 and 435,030,402.60 is: 652,545,603.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,353,973.80 : 996,530,960.70 = 435,030,402.60 : x
  2. Step 2: Convert to fraction form
    664,353,973.80/996,530,960.70 = 435,030,402.60/x
  3. Step 3: Cross multiply
    664,353,973.80x = 996,530,960.70 × 435,030,402.60
  4. Step 4: Simplify right side
    664,353,973.80x = 433,521,265,036,685,824
  5. Step 5: Solve for x
    x = 433,521,265,036,685,824/664,353,973.80
  6. Step 6: Final answer
    x = 652,545,603.90

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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.