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Finding the Fourth Proportional to 355,347.40, 533,021.10 and 144,870.60

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Solution

The fourth proportional to 355,347.40, 533,021.10 and 144,870.60 is: 217,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,347.40 : 533,021.10 = 144,870.60 : x
  2. Step 2: Convert to fraction form
    355,347.40/533,021.10 = 144,870.60/x
  3. Step 3: Cross multiply
    355,347.40x = 533,021.10 × 144,870.60
  4. Step 4: Simplify right side
    355,347.40x = 77,219,086,569.66
  5. Step 5: Solve for x
    x = 77,219,086,569.66/355,347.40
  6. Step 6: Final answer
    x = 217,305.90

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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.