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Finding the Fourth Proportional to 708,911.29, 978,258.56 and 402,945.13

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Solution

The fourth proportional to 708,911.29, 978,258.56 and 402,945.13 is: 556,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,911.29 : 978,258.56 = 402,945.13 : x
  2. Step 2: Convert to fraction form
    708,911.29/978,258.56 = 402,945.13/x
  3. Step 3: Cross multiply
    708,911.29x = 978,258.56 × 402,945.13
  4. Step 4: Simplify right side
    708,911.29x = 394,184,522,632.81
  5. Step 5: Solve for x
    x = 394,184,522,632.81/708,911.29
  6. Step 6: Final answer
    x = 556,042.10

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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.