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Finding the Fourth Proportional to 282,743.10, 424,114.65 and 256,499.10

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Solution

The fourth proportional to 282,743.10, 424,114.65 and 256,499.10 is: 384,748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,743.10 : 424,114.65 = 256,499.10 : x
  2. Step 2: Convert to fraction form
    282,743.10/424,114.65 = 256,499.10/x
  3. Step 3: Cross multiply
    282,743.10x = 424,114.65 × 256,499.10
  4. Step 4: Simplify right side
    282,743.10x = 108,785,026,021.82
  5. Step 5: Solve for x
    x = 108,785,026,021.82/282,743.10
  6. Step 6: Final answer
    x = 384,748.65

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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.