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Finding the Fourth Proportional to 1,424,458, 1,965,751.14 and 779,878.02

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Solution

The fourth proportional to 1,424,458, 1,965,751.14 and 779,878.02 is: 1,076,231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,458 : 1,965,751.14 = 779,878.02 : x
  2. Step 2: Convert to fraction form
    1,424,458/1,965,751.14 = 779,878.02/x
  3. Step 3: Cross multiply
    1,424,458x = 1,965,751.14 × 779,878.02
  4. Step 4: Simplify right side
    1,424,458x = 1,533,046,106,875.94
  5. Step 5: Solve for x
    x = 1,533,046,106,875.94/1,424,458
  6. Step 6: Final answer
    x = 1,076,231.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.