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Finding the Fourth Proportional to 708,802.13, 978,119.60 and 402,918.74

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Solution

The fourth proportional to 708,802.13, 978,119.60 and 402,918.74 is: 556,012.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,802.13 : 978,119.60 = 402,918.74 : x
  2. Step 2: Convert to fraction form
    708,802.13/978,119.60 = 402,918.74/x
  3. Step 3: Cross multiply
    708,802.13x = 978,119.60 × 402,918.74
  4. Step 4: Simplify right side
    708,802.13x = 394,102,709,896.11
  5. Step 5: Solve for x
    x = 394,102,709,896.11/708,802.13
  6. Step 6: Final answer
    x = 556,012.31

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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.