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Finding the Fourth Proportional to 1,974,430.80, 2,961,646.20 and 977,029.20

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Solution

The fourth proportional to 1,974,430.80, 2,961,646.20 and 977,029.20 is: 1,465,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,430.80 : 2,961,646.20 = 977,029.20 : x
  2. Step 2: Convert to fraction form
    1,974,430.80/2,961,646.20 = 977,029.20/x
  3. Step 3: Cross multiply
    1,974,430.80x = 2,961,646.20 × 977,029.20
  4. Step 4: Simplify right side
    1,974,430.80x = 2,893,614,817,469.04
  5. Step 5: Solve for x
    x = 2,893,614,817,469.04/1,974,430.80
  6. Step 6: Final answer
    x = 1,465,543.80

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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.