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Finding the Fourth Proportional to 384,046.80, 576,070.20 and 258,075.60

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Solution

The fourth proportional to 384,046.80, 576,070.20 and 258,075.60 is: 387,113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,046.80 : 576,070.20 = 258,075.60 : x
  2. Step 2: Convert to fraction form
    384,046.80/576,070.20 = 258,075.60/x
  3. Step 3: Cross multiply
    384,046.80x = 576,070.20 × 258,075.60
  4. Step 4: Simplify right side
    384,046.80x = 148,669,662,507.12
  5. Step 5: Solve for x
    x = 148,669,662,507.12/384,046.80
  6. Step 6: Final answer
    x = 387,113.40

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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.