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Finding the Fourth Proportional to 686,885.16, 947,909.34 and 380,967.60

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Solution

The fourth proportional to 686,885.16, 947,909.34 and 380,967.60 is: 525,739.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,885.16 : 947,909.34 = 380,967.60 : x
  2. Step 2: Convert to fraction form
    686,885.16/947,909.34 = 380,967.60/x
  3. Step 3: Cross multiply
    686,885.16x = 947,909.34 × 380,967.60
  4. Step 4: Simplify right side
    686,885.16x = 361,122,746,277.38
  5. Step 5: Solve for x
    x = 361,122,746,277.38/686,885.16
  6. Step 6: Final answer
    x = 525,739.62

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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.