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Finding the Fourth Proportional to 315,306, 435,131.46 and 172,075.20

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Solution

The fourth proportional to 315,306, 435,131.46 and 172,075.20 is: 237,468.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,306 : 435,131.46 = 172,075.20 : x
  2. Step 2: Convert to fraction form
    315,306/435,131.46 = 172,075.20/x
  3. Step 3: Cross multiply
    315,306x = 435,131.46 × 172,075.20
  4. Step 4: Simplify right side
    315,306x = 74,875,333,005.79
  5. Step 5: Solve for x
    x = 74,875,333,005.79/315,306
  6. Step 6: Final answer
    x = 237,468.79

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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.