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Finding the Fourth Proportional to 384,459.10, 530,159.07 and 255,350.77

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Solution

The fourth proportional to 384,459.10, 530,159.07 and 255,350.77 is: 352,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,459.10 : 530,159.07 = 255,350.77 : x
  2. Step 2: Convert to fraction form
    384,459.10/530,159.07 = 255,350.77/x
  3. Step 3: Cross multiply
    384,459.10x = 530,159.07 × 255,350.77
  4. Step 4: Simplify right side
    384,459.10x = 135,376,525,421.59
  5. Step 5: Solve for x
    x = 135,376,525,421.59/384,459.10
  6. Step 6: Final answer
    x = 352,122.05

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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.