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Finding the Fourth Proportional to 847,160, 1,270,470.54 and 278,409.86

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Solution

The fourth proportional to 847,160, 1,270,470.54 and 278,409.86 is: 417,526.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,160 : 1,270,470.54 = 278,409.86 : x
  2. Step 2: Convert to fraction form
    847,160/1,270,470.54 = 278,409.86/x
  3. Step 3: Cross multiply
    847,160x = 1,270,470.54 × 278,409.86
  4. Step 4: Simplify right side
    847,160x = 353,711,525,175.52
  5. Step 5: Solve for x
    x = 353,711,525,175.52/847,160
  6. Step 6: Final answer
    x = 417,526.23

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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.