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Finding the Fourth Proportional to 713,302.65, 1,070,417.67 and 308,889.78

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Solution

The fourth proportional to 713,302.65, 1,070,417.67 and 308,889.78 is: 463,535.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,302.65 : 1,070,417.67 = 308,889.78 : x
  2. Step 2: Convert to fraction form
    713,302.65/1,070,417.67 = 308,889.78/x
  3. Step 3: Cross multiply
    713,302.65x = 1,070,417.67 × 308,889.78
  4. Step 4: Simplify right side
    713,302.65x = 330,641,078,594.41
  5. Step 5: Solve for x
    x = 330,641,078,594.41/713,302.65
  6. Step 6: Final answer
    x = 463,535.47

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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.