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Finding the Fourth Proportional to 594,419.90, 820,389.51 and 379,702.98

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Solution

The fourth proportional to 594,419.90, 820,389.51 and 379,702.98 is: 524,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,419.90 : 820,389.51 = 379,702.98 : x
  2. Step 2: Convert to fraction form
    594,419.90/820,389.51 = 379,702.98/x
  3. Step 3: Cross multiply
    594,419.90x = 820,389.51 × 379,702.98
  4. Step 4: Simplify right side
    594,419.90x = 311,504,341,707.74
  5. Step 5: Solve for x
    x = 311,504,341,707.74/594,419.90
  6. Step 6: Final answer
    x = 524,047.64

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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.