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Finding the Fourth Proportional to 377,862.16, 521,443.48 and 208,112.08

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Solution

The fourth proportional to 377,862.16, 521,443.48 and 208,112.08 is: 287,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,862.16 : 521,443.48 = 208,112.08 : x
  2. Step 2: Convert to fraction form
    377,862.16/521,443.48 = 208,112.08/x
  3. Step 3: Cross multiply
    377,862.16x = 521,443.48 × 208,112.08
  4. Step 4: Simplify right side
    377,862.16x = 108,518,687,225.24
  5. Step 5: Solve for x
    x = 108,518,687,225.24/377,862.16
  6. Step 6: Final answer
    x = 287,191.20

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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.