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Finding the Fourth Proportional to 510,889.08, 705,048.84 and 284,534.64

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Solution

The fourth proportional to 510,889.08, 705,048.84 and 284,534.64 is: 392,670.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,889.08 : 705,048.84 = 284,534.64 : x
  2. Step 2: Convert to fraction form
    510,889.08/705,048.84 = 284,534.64/x
  3. Step 3: Cross multiply
    510,889.08x = 705,048.84 × 284,534.64
  4. Step 4: Simplify right side
    510,889.08x = 200,610,817,871.82
  5. Step 5: Solve for x
    x = 200,610,817,871.82/510,889.08
  6. Step 6: Final answer
    x = 392,670.01

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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.