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Finding the Fourth Proportional to 708,912.29, 978,259.94 and 402,946.13

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Solution

The fourth proportional to 708,912.29, 978,259.94 and 402,946.13 is: 556,043.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,912.29 : 978,259.94 = 402,946.13 : x
  2. Step 2: Convert to fraction form
    708,912.29/978,259.94 = 402,946.13/x
  3. Step 3: Cross multiply
    708,912.29x = 978,259.94 × 402,946.13
  4. Step 4: Simplify right side
    708,912.29x = 394,186,056,957.03
  5. Step 5: Solve for x
    x = 394,186,056,957.03/708,912.29
  6. Step 6: Final answer
    x = 556,043.48

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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.