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Finding the Fourth Proportional to 319,314, 440,648.46 and 176,070.36

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Solution

The fourth proportional to 319,314, 440,648.46 and 176,070.36 is: 242,974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,314 : 440,648.46 = 176,070.36 : x
  2. Step 2: Convert to fraction form
    319,314/440,648.46 = 176,070.36/x
  3. Step 3: Cross multiply
    319,314x = 440,648.46 × 176,070.36
  4. Step 4: Simplify right side
    319,314x = 77,585,132,985.65
  5. Step 5: Solve for x
    x = 77,585,132,985.65/319,314
  6. Step 6: Final answer
    x = 242,974.42

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1.5x scale

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.