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Finding the Fourth Proportional to 514,052.02, 709,368.64 and 284,593.20

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Solution

The fourth proportional to 514,052.02, 709,368.64 and 284,593.20 is: 392,725.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,052.02 : 709,368.64 = 284,593.20 : x
  2. Step 2: Convert to fraction form
    514,052.02/709,368.64 = 284,593.20/x
  3. Step 3: Cross multiply
    514,052.02x = 709,368.64 × 284,593.20
  4. Step 4: Simplify right side
    514,052.02x = 201,881,487,865.63
  5. Step 5: Solve for x
    x = 201,881,487,865.63/514,052.02
  6. Step 6: Final answer
    x = 392,725.79

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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.