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Finding the Fourth Proportional to 210,437.84, 315,659.64 and 117,534.80

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Solution

The fourth proportional to 210,437.84, 315,659.64 and 117,534.80 is: 176,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,437.84 : 315,659.64 = 117,534.80 : x
  2. Step 2: Convert to fraction form
    210,437.84/315,659.64 = 117,534.80/x
  3. Step 3: Cross multiply
    210,437.84x = 315,659.64 × 117,534.80
  4. Step 4: Simplify right side
    210,437.84x = 37,100,992,655.47
  5. Step 5: Solve for x
    x = 37,100,992,655.47/210,437.84
  6. Step 6: Final answer
    x = 176,303.81

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1.5x scale

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.