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Finding the Fourth Proportional to 651,666.80, 977,062.80 and 314,868.80

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Solution

The fourth proportional to 651,666.80, 977,062.80 and 314,868.80 is: 472,091.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,666.80 : 977,062.80 = 314,868.80 : x
  2. Step 2: Convert to fraction form
    651,666.80/977,062.80 = 314,868.80/x
  3. Step 3: Cross multiply
    651,666.80x = 977,062.80 × 314,868.80
  4. Step 4: Simplify right side
    651,666.80x = 307,646,591,360.64
  5. Step 5: Solve for x
    x = 307,646,591,360.64/651,666.80
  6. Step 6: Final answer
    x = 472,091.86

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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.