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Finding the Fourth Proportional to 1,300,404.60, 1,948,274.10 and 1,113,780.60

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Solution

The fourth proportional to 1,300,404.60, 1,948,274.10 and 1,113,780.60 is: 1,668,672.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,404.60 : 1,948,274.10 = 1,113,780.60 : x
  2. Step 2: Convert to fraction form
    1,300,404.60/1,948,274.10 = 1,113,780.60/x
  3. Step 3: Cross multiply
    1,300,404.60x = 1,948,274.10 × 1,113,780.60
  4. Step 4: Simplify right side
    1,300,404.60x = 2,169,949,896,062.46
  5. Step 5: Solve for x
    x = 2,169,949,896,062.46/1,300,404.60
  6. Step 6: Final answer
    x = 1,668,672.89

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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.