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Finding the Fourth Proportional to 463,666,400.40, 695,499,600.60 and 428,630,854.80

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Solution

The fourth proportional to 463,666,400.40, 695,499,600.60 and 428,630,854.80 is: 642,946,282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,666,400.40 : 695,499,600.60 = 428,630,854.80 : x
  2. Step 2: Convert to fraction form
    463,666,400.40/695,499,600.60 = 428,630,854.80/x
  3. Step 3: Cross multiply
    463,666,400.40x = 695,499,600.60 × 428,630,854.80
  4. Step 4: Simplify right side
    463,666,400.40x = 298,112,588,318,236,608
  5. Step 5: Solve for x
    x = 298,112,588,318,236,608/463,666,400.40
  6. Step 6: Final answer
    x = 642,946,282.20

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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.