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Finding the Fourth Proportional to 512,123.45, 706,446.77 and 359,389.58

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Solution

The fourth proportional to 512,123.45, 706,446.77 and 359,389.58 is: 495,758.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,123.45 : 706,446.77 = 359,389.58 : x
  2. Step 2: Convert to fraction form
    512,123.45/706,446.77 = 359,389.58/x
  3. Step 3: Cross multiply
    512,123.45x = 706,446.77 × 359,389.58
  4. Step 4: Simplify right side
    512,123.45x = 253,889,602,633.48
  5. Step 5: Solve for x
    x = 253,889,602,633.48/512,123.45
  6. Step 6: Final answer
    x = 495,758.60

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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.