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Finding the Fourth Proportional to 417,868.40, 626,543.40 and 240,287.60

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Solution

The fourth proportional to 417,868.40, 626,543.40 and 240,287.60 is: 360,282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,868.40 : 626,543.40 = 240,287.60 : x
  2. Step 2: Convert to fraction form
    417,868.40/626,543.40 = 240,287.60/x
  3. Step 3: Cross multiply
    417,868.40x = 626,543.40 × 240,287.60
  4. Step 4: Simplify right side
    417,868.40x = 150,550,609,881.84
  5. Step 5: Solve for x
    x = 150,550,609,881.84/417,868.40
  6. Step 6: Final answer
    x = 360,282.35

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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.