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Finding the Fourth Proportional to 443,356.32, 611,827.92 and 242,148

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Solution

The fourth proportional to 443,356.32, 611,827.92 and 242,148 is: 334,162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,356.32 : 611,827.92 = 242,148 : x
  2. Step 2: Convert to fraction form
    443,356.32/611,827.92 = 242,148/x
  3. Step 3: Cross multiply
    443,356.32x = 611,827.92 × 242,148
  4. Step 4: Simplify right side
    443,356.32x = 148,152,907,172.16
  5. Step 5: Solve for x
    x = 148,152,907,172.16/443,356.32
  6. Step 6: Final answer
    x = 334,162.16

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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.