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Finding the Fourth Proportional to 713,168.65, 1,069,359.32 and 292,739.77

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Solution

The fourth proportional to 713,168.65, 1,069,359.32 and 292,739.77 is: 438,948.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,168.65 : 1,069,359.32 = 292,739.77 : x
  2. Step 2: Convert to fraction form
    713,168.65/1,069,359.32 = 292,739.77/x
  3. Step 3: Cross multiply
    713,168.65x = 1,069,359.32 × 292,739.77
  4. Step 4: Simplify right side
    713,168.65x = 313,044,001,806.04
  5. Step 5: Solve for x
    x = 313,044,001,806.04/713,168.65
  6. Step 6: Final answer
    x = 438,948.07

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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.