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Finding the Fourth Proportional to 703,113.68, 970,289.16 and 380,815.76

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Solution

The fourth proportional to 703,113.68, 970,289.16 and 380,815.76 is: 525,521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,113.68 : 970,289.16 = 380,815.76 : x
  2. Step 2: Convert to fraction form
    703,113.68/970,289.16 = 380,815.76/x
  3. Step 3: Cross multiply
    703,113.68x = 970,289.16 × 380,815.76
  4. Step 4: Simplify right side
    703,113.68x = 369,501,403,885.16
  5. Step 5: Solve for x
    x = 369,501,403,885.16/703,113.68
  6. Step 6: Final answer
    x = 525,521.57

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Double scale
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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.