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Finding the Fourth Proportional to 302,402, 452,495.73 and 286,180.13

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Solution

The fourth proportional to 302,402, 452,495.73 and 286,180.13 is: 428,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,402 : 452,495.73 = 286,180.13 : x
  2. Step 2: Convert to fraction form
    302,402/452,495.73 = 286,180.13/x
  3. Step 3: Cross multiply
    302,402x = 452,495.73 × 286,180.13
  4. Step 4: Simplify right side
    302,402x = 129,495,286,835.85
  5. Step 5: Solve for x
    x = 129,495,286,835.85/302,402
  6. Step 6: Final answer
    x = 428,222.32

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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.