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Finding the Fourth Proportional to 399,207.60, 598,811.40 and 162,428.40

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Solution

The fourth proportional to 399,207.60, 598,811.40 and 162,428.40 is: 243,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,207.60 : 598,811.40 = 162,428.40 : x
  2. Step 2: Convert to fraction form
    399,207.60/598,811.40 = 162,428.40/x
  3. Step 3: Cross multiply
    399,207.60x = 598,811.40 × 162,428.40
  4. Step 4: Simplify right side
    399,207.60x = 97,263,977,603.76
  5. Step 5: Solve for x
    x = 97,263,977,603.76/399,207.60
  6. Step 6: Final answer
    x = 243,642.60

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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.