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Finding the Fourth Proportional to 569,328.66, 785,676.69 and 311,206.02

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Solution

The fourth proportional to 569,328.66, 785,676.69 and 311,206.02 is: 429,466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,328.66 : 785,676.69 = 311,206.02 : x
  2. Step 2: Convert to fraction form
    569,328.66/785,676.69 = 311,206.02/x
  3. Step 3: Cross multiply
    569,328.66x = 785,676.69 × 311,206.02
  4. Step 4: Simplify right side
    569,328.66x = 244,507,315,701.67
  5. Step 5: Solve for x
    x = 244,507,315,701.67/569,328.66
  6. Step 6: Final answer
    x = 429,466.02

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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.