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Finding the Fourth Proportional to 402,812.16, 603,749.76 and 356,156.16

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Solution

The fourth proportional to 402,812.16, 603,749.76 and 356,156.16 is: 533,820.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,812.16 : 603,749.76 = 356,156.16 : x
  2. Step 2: Convert to fraction form
    402,812.16/603,749.76 = 356,156.16/x
  3. Step 3: Cross multiply
    402,812.16x = 603,749.76 × 356,156.16
  4. Step 4: Simplify right side
    402,812.16x = 215,029,196,122.52
  5. Step 5: Solve for x
    x = 215,029,196,122.52/402,812.16
  6. Step 6: Final answer
    x = 533,820.02

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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.