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Finding the Fourth Proportional to 706,180.52, 974,508.64 and 400,285.12

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Solution

The fourth proportional to 706,180.52, 974,508.64 and 400,285.12 is: 552,381.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,180.52 : 974,508.64 = 400,285.12 : x
  2. Step 2: Convert to fraction form
    706,180.52/974,508.64 = 400,285.12/x
  3. Step 3: Cross multiply
    706,180.52x = 974,508.64 × 400,285.12
  4. Step 4: Simplify right side
    706,180.52x = 390,081,307,903.44
  5. Step 5: Solve for x
    x = 390,081,307,903.44/706,180.52
  6. Step 6: Final answer
    x = 552,381.86

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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.