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Finding the Fourth Proportional to 869,149,737.60, 1,304,298,916.80 and 409,219,420.80

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Solution

The fourth proportional to 869,149,737.60, 1,304,298,916.80 and 409,219,420.80 is: 614,099,532.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,149,737.60 : 1,304,298,916.80 = 409,219,420.80 : x
  2. Step 2: Convert to fraction form
    869,149,737.60/1,304,298,916.80 = 409,219,420.80/x
  3. Step 3: Cross multiply
    869,149,737.60x = 1,304,298,916.80 × 409,219,420.80
  4. Step 4: Simplify right side
    869,149,737.60x = 533,744,447,282,963,392
  5. Step 5: Solve for x
    x = 533,744,447,282,963,392/869,149,737.60
  6. Step 6: Final answer
    x = 614,099,532.21

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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.