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Finding the Fourth Proportional to 210,538.16, 315,813 and 70,291.76

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Solution

The fourth proportional to 210,538.16, 315,813 and 70,291.76 is: 105,439.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,538.16 : 315,813 = 70,291.76 : x
  2. Step 2: Convert to fraction form
    210,538.16/315,813 = 70,291.76/x
  3. Step 3: Cross multiply
    210,538.16x = 315,813 × 70,291.76
  4. Step 4: Simplify right side
    210,538.16x = 22,199,051,600.88
  5. Step 5: Solve for x
    x = 22,199,051,600.88/210,538.16
  6. Step 6: Final answer
    x = 105,439.56

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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.