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Finding the Fourth Proportional to 509,406.98, 703,196.13 and 343,867.48

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Solution

The fourth proportional to 509,406.98, 703,196.13 and 343,867.48 is: 474,681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,406.98 : 703,196.13 = 343,867.48 : x
  2. Step 2: Convert to fraction form
    509,406.98/703,196.13 = 343,867.48/x
  3. Step 3: Cross multiply
    509,406.98x = 703,196.13 × 343,867.48
  4. Step 4: Simplify right side
    509,406.98x = 241,806,280,700.37
  5. Step 5: Solve for x
    x = 241,806,280,700.37/509,406.98
  6. Step 6: Final answer
    x = 474,681.92

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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.