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Finding the Fourth Proportional to 611,913.20, 917,869.80 and 471,945.20

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Solution

The fourth proportional to 611,913.20, 917,869.80 and 471,945.20 is: 707,917.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,913.20 : 917,869.80 = 471,945.20 : x
  2. Step 2: Convert to fraction form
    611,913.20/917,869.80 = 471,945.20/x
  3. Step 3: Cross multiply
    611,913.20x = 917,869.80 × 471,945.20
  4. Step 4: Simplify right side
    611,913.20x = 433,184,246,334.96
  5. Step 5: Solve for x
    x = 433,184,246,334.96/611,913.20
  6. Step 6: Final answer
    x = 707,917.80

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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.