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Finding the Fourth Proportional to 706,270.71, 974,648.74 and 383,980.80

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Solution

The fourth proportional to 706,270.71, 974,648.74 and 383,980.80 is: 529,890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,270.71 : 974,648.74 = 383,980.80 : x
  2. Step 2: Convert to fraction form
    706,270.71/974,648.74 = 383,980.80/x
  3. Step 3: Cross multiply
    706,270.71x = 974,648.74 × 383,980.80
  4. Step 4: Simplify right side
    706,270.71x = 374,246,402,904.19
  5. Step 5: Solve for x
    x = 374,246,402,904.19/706,270.71
  6. Step 6: Final answer
    x = 529,890.87

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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.