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Finding the Fourth Proportional to 282,801.51, 390,268.71 and 155,478

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Solution

The fourth proportional to 282,801.51, 390,268.71 and 155,478 is: 214,561.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,801.51 : 390,268.71 = 155,478 : x
  2. Step 2: Convert to fraction form
    282,801.51/390,268.71 = 155,478/x
  3. Step 3: Cross multiply
    282,801.51x = 390,268.71 × 155,478
  4. Step 4: Simplify right side
    282,801.51x = 60,678,198,493.38
  5. Step 5: Solve for x
    x = 60,678,198,493.38/282,801.51
  6. Step 6: Final answer
    x = 214,561.08

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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.