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Finding the Fourth Proportional to 869,124,913.20, 1,303,687,369.80 and 460,978,225.20

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Solution

The fourth proportional to 869,124,913.20, 1,303,687,369.80 and 460,978,225.20 is: 691,467,337.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,124,913.20 : 1,303,687,369.80 = 460,978,225.20 : x
  2. Step 2: Convert to fraction form
    869,124,913.20/1,303,687,369.80 = 460,978,225.20/x
  3. Step 3: Cross multiply
    869,124,913.20x = 1,303,687,369.80 × 460,978,225.20
  4. Step 4: Simplify right side
    869,124,913.20x = 600,971,489,946,060,032
  5. Step 5: Solve for x
    x = 600,971,489,946,060,032/869,124,913.20
  6. Step 6: Final answer
    x = 691,467,337.80

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1.5x scale

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.