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Finding the Fourth Proportional to 401,813.20, 602,719.80 and 152,495.20

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Solution

The fourth proportional to 401,813.20, 602,719.80 and 152,495.20 is: 228,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,813.20 : 602,719.80 = 152,495.20 : x
  2. Step 2: Convert to fraction form
    401,813.20/602,719.80 = 152,495.20/x
  3. Step 3: Cross multiply
    401,813.20x = 602,719.80 × 152,495.20
  4. Step 4: Simplify right side
    401,813.20x = 91,911,876,444.96
  5. Step 5: Solve for x
    x = 91,911,876,444.96/401,813.20
  6. Step 6: Final answer
    x = 228,742.80

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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.