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Finding the Fourth Proportional to 1,426,410.86, 1,968,495.75 and 781,830.90

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Solution

The fourth proportional to 1,426,410.86, 1,968,495.75 and 781,830.90 is: 1,078,953.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426,410.86 : 1,968,495.75 = 781,830.90 : x
  2. Step 2: Convert to fraction form
    1,426,410.86/1,968,495.75 = 781,830.90/x
  3. Step 3: Cross multiply
    1,426,410.86x = 1,968,495.75 × 781,830.90
  4. Step 4: Simplify right side
    1,426,410.86x = 1,539,030,803,868.68
  5. Step 5: Solve for x
    x = 1,539,030,803,868.68/1,426,410.86
  6. Step 6: Final answer
    x = 1,078,953.37

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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.