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Finding the Fourth Proportional to 282,681.60, 424,022.40 and 198,700.80

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Solution

The fourth proportional to 282,681.60, 424,022.40 and 198,700.80 is: 298,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,681.60 : 424,022.40 = 198,700.80 : x
  2. Step 2: Convert to fraction form
    282,681.60/424,022.40 = 198,700.80/x
  3. Step 3: Cross multiply
    282,681.60x = 424,022.40 × 198,700.80
  4. Step 4: Simplify right side
    282,681.60x = 84,253,590,097.92
  5. Step 5: Solve for x
    x = 84,253,590,097.92/282,681.60
  6. Step 6: Final answer
    x = 298,051.20

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1.5x scale

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.