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Finding the Fourth Proportional to 713,048.54, 983,978.78 and 426,397.82

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Solution

The fourth proportional to 713,048.54, 983,978.78 and 426,397.82 is: 588,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,048.54 : 983,978.78 = 426,397.82 : x
  2. Step 2: Convert to fraction form
    713,048.54/983,978.78 = 426,397.82/x
  3. Step 3: Cross multiply
    713,048.54x = 983,978.78 × 426,397.82
  4. Step 4: Simplify right side
    713,048.54x = 419,566,406,718.26
  5. Step 5: Solve for x
    x = 419,566,406,718.26/713,048.54
  6. Step 6: Final answer
    x = 588,412.13

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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.