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Finding the Fourth Proportional to 385,424.16, 577,937 and 169,194.40

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Solution

The fourth proportional to 385,424.16, 577,937 and 169,194.40 is: 253,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,424.16 : 577,937 = 169,194.40 : x
  2. Step 2: Convert to fraction form
    385,424.16/577,937 = 169,194.40/x
  3. Step 3: Cross multiply
    385,424.16x = 577,937 × 169,194.40
  4. Step 4: Simplify right side
    385,424.16x = 97,783,703,952.80
  5. Step 5: Solve for x
    x = 97,783,703,952.80/385,424.16
  6. Step 6: Final answer
    x = 253,704.14

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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.