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Finding the Fourth Proportional to 584,878, 807,133.80 and 316,606

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Solution

The fourth proportional to 584,878, 807,133.80 and 316,606 is: 436,917.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,878 : 807,133.80 = 316,606 : x
  2. Step 2: Convert to fraction form
    584,878/807,133.80 = 316,606/x
  3. Step 3: Cross multiply
    584,878x = 807,133.80 × 316,606
  4. Step 4: Simplify right side
    584,878x = 255,543,403,882.80
  5. Step 5: Solve for x
    x = 255,543,403,882.80/584,878
  6. Step 6: Final answer
    x = 436,917.45

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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.