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Finding the Fourth Proportional to 418,043.81, 577,076.90 and 282,261.48

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Solution

The fourth proportional to 418,043.81, 577,076.90 and 282,261.48 is: 389,639.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,043.81 : 577,076.90 = 282,261.48 : x
  2. Step 2: Convert to fraction form
    418,043.81/577,076.90 = 282,261.48/x
  3. Step 3: Cross multiply
    418,043.81x = 577,076.90 × 282,261.48
  4. Step 4: Simplify right side
    418,043.81x = 162,886,578,456.51
  5. Step 5: Solve for x
    x = 162,886,578,456.51/418,043.81
  6. Step 6: Final answer
    x = 389,639.98

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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.