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Finding the Fourth Proportional to 347,663.16, 521,599.74 and 145,357.56

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Solution

The fourth proportional to 347,663.16, 521,599.74 and 145,357.56 is: 218,080.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,663.16 : 521,599.74 = 145,357.56 : x
  2. Step 2: Convert to fraction form
    347,663.16/521,599.74 = 145,357.56/x
  3. Step 3: Cross multiply
    347,663.16x = 521,599.74 × 145,357.56
  4. Step 4: Simplify right side
    347,663.16x = 75,818,465,503.03
  5. Step 5: Solve for x
    x = 75,818,465,503.03/347,663.16
  6. Step 6: Final answer
    x = 218,080.24

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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.