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Finding the Fourth Proportional to 542,384.40, 748,440.16 and 300,646.41

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Solution

The fourth proportional to 542,384.40, 748,440.16 and 300,646.41 is: 414,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,384.40 : 748,440.16 = 300,646.41 : x
  2. Step 2: Convert to fraction form
    542,384.40/748,440.16 = 300,646.41/x
  3. Step 3: Cross multiply
    542,384.40x = 748,440.16 × 300,646.41
  4. Step 4: Simplify right side
    542,384.40x = 225,015,847,203.83
  5. Step 5: Solve for x
    x = 225,015,847,203.83/542,384.40
  6. Step 6: Final answer
    x = 414,864.16

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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.