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Finding the Fourth Proportional to 413,490.96, 570,197.52 and 389,381.76

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Solution

The fourth proportional to 413,490.96, 570,197.52 and 389,381.76 is: 536,951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,490.96 : 570,197.52 = 389,381.76 : x
  2. Step 2: Convert to fraction form
    413,490.96/570,197.52 = 389,381.76/x
  3. Step 3: Cross multiply
    413,490.96x = 570,197.52 × 389,381.76
  4. Step 4: Simplify right side
    413,490.96x = 222,024,513,885.24
  5. Step 5: Solve for x
    x = 222,024,513,885.24/413,490.96
  6. Step 6: Final answer
    x = 536,951.31

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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.