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Finding the Fourth Proportional to 514,383.35, 709,848.90 and 284,955.48

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Solution

The fourth proportional to 514,383.35, 709,848.90 and 284,955.48 is: 393,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,383.35 : 709,848.90 = 284,955.48 : x
  2. Step 2: Convert to fraction form
    514,383.35/709,848.90 = 284,955.48/x
  3. Step 3: Cross multiply
    514,383.35x = 709,848.90 × 284,955.48
  4. Step 4: Simplify right side
    514,383.35x = 202,275,334,026.97
  5. Step 5: Solve for x
    x = 202,275,334,026.97/514,383.35
  6. Step 6: Final answer
    x = 393,238.50

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1.5x scale

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.