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Finding the Fourth Proportional to 487,764.19, 731,898.56 and 353,931.65

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Solution

The fourth proportional to 487,764.19, 731,898.56 and 353,931.65 is: 531,080.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,764.19 : 731,898.56 = 353,931.65 : x
  2. Step 2: Convert to fraction form
    487,764.19/731,898.56 = 353,931.65/x
  3. Step 3: Cross multiply
    487,764.19x = 731,898.56 × 353,931.65
  4. Step 4: Simplify right side
    487,764.19x = 259,042,064,845.07
  5. Step 5: Solve for x
    x = 259,042,064,845.07/487,764.19
  6. Step 6: Final answer
    x = 531,080.53

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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.