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Finding the Fourth Proportional to 319,710.80, 478,934.40 and 207,469.10

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Solution

The fourth proportional to 319,710.80, 478,934.40 and 207,469.10 is: 310,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,710.80 : 478,934.40 = 207,469.10 : x
  2. Step 2: Convert to fraction form
    319,710.80/478,934.40 = 207,469.10/x
  3. Step 3: Cross multiply
    319,710.80x = 478,934.40 × 207,469.10
  4. Step 4: Simplify right side
    319,710.80x = 99,364,088,927.04
  5. Step 5: Solve for x
    x = 99,364,088,927.04/319,710.80
  6. Step 6: Final answer
    x = 310,793.66

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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.