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Finding the Fourth Proportional to 417,071.79, 624,597.42 and 288,628.16

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Solution

The fourth proportional to 417,071.79, 624,597.42 and 288,628.16 is: 432,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,071.79 : 624,597.42 = 288,628.16 : x
  2. Step 2: Convert to fraction form
    417,071.79/624,597.42 = 288,628.16/x
  3. Step 3: Cross multiply
    417,071.79x = 624,597.42 × 288,628.16
  4. Step 4: Simplify right side
    417,071.79x = 180,276,405,636.84
  5. Step 5: Solve for x
    x = 180,276,405,636.84/417,071.79
  6. Step 6: Final answer
    x = 432,243.10

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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.