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Finding the Fourth Proportional to 415,071.44, 619,167.85 and 402,835.17

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Solution

The fourth proportional to 415,071.44, 619,167.85 and 402,835.17 is: 600,914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,071.44 : 619,167.85 = 402,835.17 : x
  2. Step 2: Convert to fraction form
    415,071.44/619,167.85 = 402,835.17/x
  3. Step 3: Cross multiply
    415,071.44x = 619,167.85 × 402,835.17
  4. Step 4: Simplify right side
    415,071.44x = 249,422,587,428.08
  5. Step 5: Solve for x
    x = 249,422,587,428.08/415,071.44
  6. Step 6: Final answer
    x = 600,914.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.