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Finding the Fourth Proportional to 302,164.40, 453,419.40 and 208,737.20

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Solution

The fourth proportional to 302,164.40, 453,419.40 and 208,737.20 is: 313,225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,164.40 : 453,419.40 = 208,737.20 : x
  2. Step 2: Convert to fraction form
    302,164.40/453,419.40 = 208,737.20/x
  3. Step 3: Cross multiply
    302,164.40x = 453,419.40 × 208,737.20
  4. Step 4: Simplify right side
    302,164.40x = 94,645,495,981.68
  5. Step 5: Solve for x
    x = 94,645,495,981.68/302,164.40
  6. Step 6: Final answer
    x = 313,225.17

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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.