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Finding the Fourth Proportional to 558,920.30, 771,307.74 and 313,871

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Solution

The fourth proportional to 558,920.30, 771,307.74 and 313,871 is: 433,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,920.30 : 771,307.74 = 313,871 : x
  2. Step 2: Convert to fraction form
    558,920.30/771,307.74 = 313,871/x
  3. Step 3: Cross multiply
    558,920.30x = 771,307.74 × 313,871
  4. Step 4: Simplify right side
    558,920.30x = 242,091,131,661.54
  5. Step 5: Solve for x
    x = 242,091,131,661.54/558,920.30
  6. Step 6: Final answer
    x = 433,140.70

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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.