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Finding the Fourth Proportional to 713,301.65, 1,070,416.17 and 308,888.78

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Solution

The fourth proportional to 713,301.65, 1,070,416.17 and 308,888.78 is: 463,533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,301.65 : 1,070,416.17 = 308,888.78 : x
  2. Step 2: Convert to fraction form
    713,301.65/1,070,416.17 = 308,888.78/x
  3. Step 3: Cross multiply
    713,301.65x = 1,070,416.17 × 308,888.78
  4. Step 4: Simplify right side
    713,301.65x = 330,639,539,491.49
  5. Step 5: Solve for x
    x = 330,639,539,491.49/713,301.65
  6. Step 6: Final answer
    x = 463,533.96

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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.