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Finding the Fourth Proportional to 302,951.40, 454,427.10 and 218,970.60

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Solution

The fourth proportional to 302,951.40, 454,427.10 and 218,970.60 is: 328,455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,951.40 : 454,427.10 = 218,970.60 : x
  2. Step 2: Convert to fraction form
    302,951.40/454,427.10 = 218,970.60/x
  3. Step 3: Cross multiply
    302,951.40x = 454,427.10 × 218,970.60
  4. Step 4: Simplify right side
    302,951.40x = 99,506,174,743.26
  5. Step 5: Solve for x
    x = 99,506,174,743.26/302,951.40
  6. Step 6: Final answer
    x = 328,455.90

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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.