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Finding the Fourth Proportional to 686,283.72, 947,070.90 and 384,479.88

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Solution

The fourth proportional to 686,283.72, 947,070.90 and 384,479.88 is: 530,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,283.72 : 947,070.90 = 384,479.88 : x
  2. Step 2: Convert to fraction form
    686,283.72/947,070.90 = 384,479.88/x
  3. Step 3: Cross multiply
    686,283.72x = 947,070.90 × 384,479.88
  4. Step 4: Simplify right side
    686,283.72x = 364,129,705,983.49
  5. Step 5: Solve for x
    x = 364,129,705,983.49/686,283.72
  6. Step 6: Final answer
    x = 530,581.88

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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.