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Finding the Fourth Proportional to 478,281.68, 717,459.57 and 193,836.81

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Solution

The fourth proportional to 478,281.68, 717,459.57 and 193,836.81 is: 290,770.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,281.68 : 717,459.57 = 193,836.81 : x
  2. Step 2: Convert to fraction form
    478,281.68/717,459.57 = 193,836.81/x
  3. Step 3: Cross multiply
    478,281.68x = 717,459.57 × 193,836.81
  4. Step 4: Simplify right side
    478,281.68x = 139,070,074,352.77
  5. Step 5: Solve for x
    x = 139,070,074,352.77/478,281.68
  6. Step 6: Final answer
    x = 290,770.23

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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.