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Finding the Fourth Proportional to 398,791,366.40, 597,142,732.80 and 320,652,934.40

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Solution

The fourth proportional to 398,791,366.40, 597,142,732.80 and 320,652,934.40 is: 480,139,706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,791,366.40 : 597,142,732.80 = 320,652,934.40 : x
  2. Step 2: Convert to fraction form
    398,791,366.40/597,142,732.80 = 320,652,934.40/x
  3. Step 3: Cross multiply
    398,791,366.40x = 597,142,732.80 × 320,652,934.40
  4. Step 4: Simplify right side
    398,791,366.40x = 191,475,569,527,955,104
  5. Step 5: Solve for x
    x = 191,475,569,527,955,104/398,791,366.40
  6. Step 6: Final answer
    x = 480,139,706.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.