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Finding the Fourth Proportional to 649,533.30, 896,319.75 and 359,128.02

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Solution

The fourth proportional to 649,533.30, 896,319.75 and 359,128.02 is: 495,576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,533.30 : 896,319.75 = 359,128.02 : x
  2. Step 2: Convert to fraction form
    649,533.30/896,319.75 = 359,128.02/x
  3. Step 3: Cross multiply
    649,533.30x = 896,319.75 × 359,128.02
  4. Step 4: Simplify right side
    649,533.30x = 321,893,537,104.40
  5. Step 5: Solve for x
    x = 321,893,537,104.40/649,533.30
  6. Step 6: Final answer
    x = 495,576.65

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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.