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Finding the Fourth Proportional to 315,097.80, 472,877.10 and 209,881.80

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Solution

The fourth proportional to 315,097.80, 472,877.10 and 209,881.80 is: 314,976.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,097.80 : 472,877.10 = 209,881.80 : x
  2. Step 2: Convert to fraction form
    315,097.80/472,877.10 = 209,881.80/x
  3. Step 3: Cross multiply
    315,097.80x = 472,877.10 × 209,881.80
  4. Step 4: Simplify right side
    315,097.80x = 99,248,296,926.78
  5. Step 5: Solve for x
    x = 99,248,296,926.78/315,097.80
  6. Step 6: Final answer
    x = 314,976.17

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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.