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Finding the Fourth Proportional to 708,636, 977,917.68 and 390,684

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Solution

The fourth proportional to 708,636, 977,917.68 and 390,684 is: 539,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,636 : 977,917.68 = 390,684 : x
  2. Step 2: Convert to fraction form
    708,636/977,917.68 = 390,684/x
  3. Step 3: Cross multiply
    708,636x = 977,917.68 × 390,684
  4. Step 4: Simplify right side
    708,636x = 382,056,790,893.12
  5. Step 5: Solve for x
    x = 382,056,790,893.12/708,636
  6. Step 6: Final answer
    x = 539,143.92

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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.