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Finding the Fourth Proportional to 1,974,497.40, 2,961,746.10 and 776,458.80

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Solution

The fourth proportional to 1,974,497.40, 2,961,746.10 and 776,458.80 is: 1,164,688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,497.40 : 2,961,746.10 = 776,458.80 : x
  2. Step 2: Convert to fraction form
    1,974,497.40/2,961,746.10 = 776,458.80/x
  3. Step 3: Cross multiply
    1,974,497.40x = 2,961,746.10 × 776,458.80
  4. Step 4: Simplify right side
    1,974,497.40x = 2,299,673,822,710.68
  5. Step 5: Solve for x
    x = 2,299,673,822,710.68/1,974,497.40
  6. Step 6: Final answer
    x = 1,164,688.20

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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.