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Finding the Fourth Proportional to 519,136, 716,407.84 and 280,672

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Solution

The fourth proportional to 519,136, 716,407.84 and 280,672 is: 387,327.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,136 : 716,407.84 = 280,672 : x
  2. Step 2: Convert to fraction form
    519,136/716,407.84 = 280,672/x
  3. Step 3: Cross multiply
    519,136x = 716,407.84 × 280,672
  4. Step 4: Simplify right side
    519,136x = 201,075,621,268.48
  5. Step 5: Solve for x
    x = 201,075,621,268.48/519,136
  6. Step 6: Final answer
    x = 387,327.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.