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Finding the Fourth Proportional to 290,369.57, 435,478.21 and 130,356

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Solution

The fourth proportional to 290,369.57, 435,478.21 and 130,356 is: 195,499.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,369.57 : 435,478.21 = 130,356 : x
  2. Step 2: Convert to fraction form
    290,369.57/435,478.21 = 130,356/x
  3. Step 3: Cross multiply
    290,369.57x = 435,478.21 × 130,356
  4. Step 4: Simplify right side
    290,369.57x = 56,767,197,216.87
  5. Step 5: Solve for x
    x = 56,767,197,216.87/290,369.57
  6. Step 6: Final answer
    x = 195,499.82

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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.