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Finding the Fourth Proportional to 343,361.76, 514,870.30 and 163,393.53

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Solution

The fourth proportional to 343,361.76, 514,870.30 and 163,393.53 is: 245,008.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,361.76 : 514,870.30 = 163,393.53 : x
  2. Step 2: Convert to fraction form
    343,361.76/514,870.30 = 163,393.53/x
  3. Step 3: Cross multiply
    343,361.76x = 514,870.30 × 163,393.53
  4. Step 4: Simplify right side
    343,361.76x = 84,126,475,809.16
  5. Step 5: Solve for x
    x = 84,126,475,809.16/343,361.76
  6. Step 6: Final answer
    x = 245,008.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.