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Finding the Fourth Proportional to 778,830, 1,074,785.40 and 421,134

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Solution

The fourth proportional to 778,830, 1,074,785.40 and 421,134 is: 581,164.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,830 : 1,074,785.40 = 421,134 : x
  2. Step 2: Convert to fraction form
    778,830/1,074,785.40 = 421,134/x
  3. Step 3: Cross multiply
    778,830x = 1,074,785.40 × 421,134
  4. Step 4: Simplify right side
    778,830x = 452,628,674,643.60
  5. Step 5: Solve for x
    x = 452,628,674,643.60/778,830
  6. Step 6: Final answer
    x = 581,164.92

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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.