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Finding the Fourth Proportional to 1,295,784.80, 1,943,677.20 and 824,559.20

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Solution

The fourth proportional to 1,295,784.80, 1,943,677.20 and 824,559.20 is: 1,236,838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,784.80 : 1,943,677.20 = 824,559.20 : x
  2. Step 2: Convert to fraction form
    1,295,784.80/1,943,677.20 = 824,559.20/x
  3. Step 3: Cross multiply
    1,295,784.80x = 1,943,677.20 × 824,559.20
  4. Step 4: Simplify right side
    1,295,784.80x = 1,602,676,917,090.24
  5. Step 5: Solve for x
    x = 1,602,676,917,090.24/1,295,784.80
  6. Step 6: Final answer
    x = 1,236,838.80

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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.