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Finding the Fourth Proportional to 256,482.84, 384,603.14 and 149,897.36

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Solution

The fourth proportional to 256,482.84, 384,603.14 and 149,897.36 is: 224,775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,482.84 : 384,603.14 = 149,897.36 : x
  2. Step 2: Convert to fraction form
    256,482.84/384,603.14 = 149,897.36/x
  3. Step 3: Cross multiply
    256,482.84x = 384,603.14 × 149,897.36
  4. Step 4: Simplify right side
    256,482.84x = 57,650,995,333.71
  5. Step 5: Solve for x
    x = 57,650,995,333.71/256,482.84
  6. Step 6: Final answer
    x = 224,775.25

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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.