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Finding the Fourth Proportional to 665,520, 918,096.48 and 435,977.16

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Solution

The fourth proportional to 665,520, 918,096.48 and 435,977.16 is: 601,438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,520 : 918,096.48 = 435,977.16 : x
  2. Step 2: Convert to fraction form
    665,520/918,096.48 = 435,977.16/x
  3. Step 3: Cross multiply
    665,520x = 918,096.48 × 435,977.16
  4. Step 4: Simplify right side
    665,520x = 400,269,095,956.40
  5. Step 5: Solve for x
    x = 400,269,095,956.40/665,520
  6. Step 6: Final answer
    x = 601,438.12

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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.