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Finding the Fourth Proportional to 359,510.40, 496,120.68 and 198,368.64

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Solution

The fourth proportional to 359,510.40, 496,120.68 and 198,368.64 is: 273,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,510.40 : 496,120.68 = 198,368.64 : x
  2. Step 2: Convert to fraction form
    359,510.40/496,120.68 = 198,368.64/x
  3. Step 3: Cross multiply
    359,510.40x = 496,120.68 × 198,368.64
  4. Step 4: Simplify right side
    359,510.40x = 98,414,784,567.48
  5. Step 5: Solve for x
    x = 98,414,784,567.48/359,510.40
  6. Step 6: Final answer
    x = 273,746.70

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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.