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Finding the Fourth Proportional to 708,802.68, 978,112.19 and 402,838.65

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Solution

The fourth proportional to 708,802.68, 978,112.19 and 402,838.65 is: 555,897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,802.68 : 978,112.19 = 402,838.65 : x
  2. Step 2: Convert to fraction form
    708,802.68/978,112.19 = 402,838.65/x
  3. Step 3: Cross multiply
    708,802.68x = 978,112.19 × 402,838.65
  4. Step 4: Simplify right side
    708,802.68x = 394,021,395,175.24
  5. Step 5: Solve for x
    x = 394,021,395,175.24/708,802.68
  6. Step 6: Final answer
    x = 555,897.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.