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Finding the Fourth Proportional to 385,509.47, 532,283.70 and 309,446.97

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Solution

The fourth proportional to 385,509.47, 532,283.70 and 309,446.97 is: 427,262.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,509.47 : 532,283.70 = 309,446.97 : x
  2. Step 2: Convert to fraction form
    385,509.47/532,283.70 = 309,446.97/x
  3. Step 3: Cross multiply
    385,509.47x = 532,283.70 × 309,446.97
  4. Step 4: Simplify right side
    385,509.47x = 164,713,578,145.39
  5. Step 5: Solve for x
    x = 164,713,578,145.39/385,509.47
  6. Step 6: Final answer
    x = 427,262.09

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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.