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Finding the Fourth Proportional to 708,908.48, 978,254.68 and 402,942.32

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Solution

The fourth proportional to 708,908.48, 978,254.68 and 402,942.32 is: 556,038.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,908.48 : 978,254.68 = 402,942.32 : x
  2. Step 2: Convert to fraction form
    708,908.48/978,254.68 = 402,942.32/x
  3. Step 3: Cross multiply
    708,908.48x = 978,254.68 × 402,942.32
  4. Step 4: Simplify right side
    708,908.48x = 394,180,210,310.06
  5. Step 5: Solve for x
    x = 394,180,210,310.06/708,908.48
  6. Step 6: Final answer
    x = 556,038.22

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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.