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Finding the Fourth Proportional to 778,657.40, 1,167,986.10 and 778,657.40

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Solution

The fourth proportional to 778,657.40, 1,167,986.10 and 778,657.40 is: 1,167,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,657.40 : 1,167,986.10 = 778,657.40 : x
  2. Step 2: Convert to fraction form
    778,657.40/1,167,986.10 = 778,657.40/x
  3. Step 3: Cross multiply
    778,657.40x = 1,167,986.10 × 778,657.40
  4. Step 4: Simplify right side
    778,657.40x = 909,461,019,862.14
  5. Step 5: Solve for x
    x = 909,461,019,862.14/778,657.40
  6. Step 6: Final answer
    x = 1,167,986.10

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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.