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Finding the Fourth Proportional to 391,201.65, 586,802.48 and 213,611.76

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Solution

The fourth proportional to 391,201.65, 586,802.48 and 213,611.76 is: 320,417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,201.65 : 586,802.48 = 213,611.76 : x
  2. Step 2: Convert to fraction form
    391,201.65/586,802.48 = 213,611.76/x
  3. Step 3: Cross multiply
    391,201.65x = 586,802.48 × 213,611.76
  4. Step 4: Simplify right side
    391,201.65x = 125,347,909,457.11
  5. Step 5: Solve for x
    x = 125,347,909,457.11/391,201.65
  6. Step 6: Final answer
    x = 320,417.64

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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.