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Finding the Fourth Proportional to 708,827.64, 978,206.62 and 402,916.76

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Solution

The fourth proportional to 708,827.64, 978,206.62 and 402,916.76 is: 556,039.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,827.64 : 978,206.62 = 402,916.76 : x
  2. Step 2: Convert to fraction form
    708,827.64/978,206.62 = 402,916.76/x
  3. Step 3: Cross multiply
    708,827.64x = 978,206.62 × 402,916.76
  4. Step 4: Simplify right side
    708,827.64x = 394,135,841,940.95
  5. Step 5: Solve for x
    x = 394,135,841,940.95/708,827.64
  6. Step 6: Final answer
    x = 556,039.04

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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.