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Finding the Fourth Proportional to 388,320.84, 583,020.72 and 256,051.08

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Solution

The fourth proportional to 388,320.84, 583,020.72 and 256,051.08 is: 384,432.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,320.84 : 583,020.72 = 256,051.08 : x
  2. Step 2: Convert to fraction form
    388,320.84/583,020.72 = 256,051.08/x
  3. Step 3: Cross multiply
    388,320.84x = 583,020.72 × 256,051.08
  4. Step 4: Simplify right side
    388,320.84x = 149,283,085,018.38
  5. Step 5: Solve for x
    x = 149,283,085,018.38/388,320.84
  6. Step 6: Final answer
    x = 384,432.33

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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.