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Finding the Fourth Proportional to 708,893.84, 978,292 and 386,617.52

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Solution

The fourth proportional to 708,893.84, 978,292 and 386,617.52 is: 533,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,893.84 : 978,292 = 386,617.52 : x
  2. Step 2: Convert to fraction form
    708,893.84/978,292 = 386,617.52/x
  3. Step 3: Cross multiply
    708,893.84x = 978,292 × 386,617.52
  4. Step 4: Simplify right side
    708,893.84x = 378,224,826,875.84
  5. Step 5: Solve for x
    x = 378,224,826,875.84/708,893.84
  6. Step 6: Final answer
    x = 533,542.27

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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.