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Finding the Fourth Proportional to 230,309.40, 317,681.59 and 158,564.86

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Solution

The fourth proportional to 230,309.40, 317,681.59 and 158,564.86 is: 218,719.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,309.40 : 317,681.59 = 158,564.86 : x
  2. Step 2: Convert to fraction form
    230,309.40/317,681.59 = 158,564.86/x
  3. Step 3: Cross multiply
    230,309.40x = 317,681.59 × 158,564.86
  4. Step 4: Simplify right side
    230,309.40x = 50,373,136,842.93
  5. Step 5: Solve for x
    x = 50,373,136,842.93/230,309.40
  6. Step 6: Final answer
    x = 218,719.41

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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.