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Finding the Fourth Proportional to 302,116.40, 453,320.40 and 213,178.40

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Solution

The fourth proportional to 302,116.40, 453,320.40 and 213,178.40 is: 319,870.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,116.40 : 453,320.40 = 213,178.40 : x
  2. Step 2: Convert to fraction form
    302,116.40/453,320.40 = 213,178.40/x
  3. Step 3: Cross multiply
    302,116.40x = 453,320.40 × 213,178.40
  4. Step 4: Simplify right side
    302,116.40x = 96,638,117,559.36
  5. Step 5: Solve for x
    x = 96,638,117,559.36/302,116.40
  6. Step 6: Final answer
    x = 319,870.48

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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.