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Finding the Fourth Proportional to 703,009.82, 970,148.71 and 380,712.54

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Solution

The fourth proportional to 703,009.82, 970,148.71 and 380,712.54 is: 525,380.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,009.82 : 970,148.71 = 380,712.54 : x
  2. Step 2: Convert to fraction form
    703,009.82/970,148.71 = 380,712.54/x
  3. Step 3: Cross multiply
    703,009.82x = 970,148.71 × 380,712.54
  4. Step 4: Simplify right side
    703,009.82x = 369,347,779,561.82
  5. Step 5: Solve for x
    x = 369,347,779,561.82/703,009.82
  6. Step 6: Final answer
    x = 525,380.68

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1.5x scale

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.