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Finding the Fourth Proportional to 255,699.84, 383,553 and 97,937.76

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Solution

The fourth proportional to 255,699.84, 383,553 and 97,937.76 is: 146,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,699.84 : 383,553 = 97,937.76 : x
  2. Step 2: Convert to fraction form
    255,699.84/383,553 = 97,937.76/x
  3. Step 3: Cross multiply
    255,699.84x = 383,553 × 97,937.76
  4. Step 4: Simplify right side
    255,699.84x = 37,564,321,661.28
  5. Step 5: Solve for x
    x = 37,564,321,661.28/255,699.84
  6. Step 6: Final answer
    x = 146,907.88

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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.