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Finding the Fourth Proportional to 343,047, 514,746 and 163,335.72

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Solution

The fourth proportional to 343,047, 514,746 and 163,335.72 is: 245,087.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,047 : 514,746 = 163,335.72 : x
  2. Step 2: Convert to fraction form
    343,047/514,746 = 163,335.72/x
  3. Step 3: Cross multiply
    343,047x = 514,746 × 163,335.72
  4. Step 4: Simplify right side
    343,047x = 84,076,408,527.12
  5. Step 5: Solve for x
    x = 84,076,408,527.12/343,047
  6. Step 6: Final answer
    x = 245,087.14

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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.