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Finding the Fourth Proportional to 538,646.40, 806,803.20 and 349,689.60

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Solution

The fourth proportional to 538,646.40, 806,803.20 and 349,689.60 is: 523,777.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,646.40 : 806,803.20 = 349,689.60 : x
  2. Step 2: Convert to fraction form
    538,646.40/806,803.20 = 349,689.60/x
  3. Step 3: Cross multiply
    538,646.40x = 806,803.20 × 349,689.60
  4. Step 4: Simplify right side
    538,646.40x = 282,130,688,286.72
  5. Step 5: Solve for x
    x = 282,130,688,286.72/538,646.40
  6. Step 6: Final answer
    x = 523,777.17

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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.