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Finding the Fourth Proportional to 778,470, 1,168,056.36 and 446,046

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Solution

The fourth proportional to 778,470, 1,168,056.36 and 446,046 is: 669,270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,470 : 1,168,056.36 = 446,046 : x
  2. Step 2: Convert to fraction form
    778,470/1,168,056.36 = 446,046/x
  3. Step 3: Cross multiply
    778,470x = 1,168,056.36 × 446,046
  4. Step 4: Simplify right side
    778,470x = 521,006,867,152.56
  5. Step 5: Solve for x
    x = 521,006,867,152.56/778,470
  6. Step 6: Final answer
    x = 669,270.32

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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.