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Finding the Fourth Proportional to 657,311.80, 986,000.10 and 342,383.80

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Solution

The fourth proportional to 657,311.80, 986,000.10 and 342,383.80 is: 513,592.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,311.80 : 986,000.10 = 342,383.80 : x
  2. Step 2: Convert to fraction form
    657,311.80/986,000.10 = 342,383.80/x
  3. Step 3: Cross multiply
    657,311.80x = 986,000.10 × 342,383.80
  4. Step 4: Simplify right side
    657,311.80x = 337,590,461,038.38
  5. Step 5: Solve for x
    x = 337,590,461,038.38/657,311.80
  6. Step 6: Final answer
    x = 513,592.58

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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.