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Finding the Fourth Proportional to 432,024.40, 648,814.20 and 313,829.20

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Solution

The fourth proportional to 432,024.40, 648,814.20 and 313,829.20 is: 471,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,024.40 : 648,814.20 = 313,829.20 : x
  2. Step 2: Convert to fraction form
    432,024.40/648,814.20 = 313,829.20/x
  3. Step 3: Cross multiply
    432,024.40x = 648,814.20 × 313,829.20
  4. Step 4: Simplify right side
    432,024.40x = 203,616,841,334.64
  5. Step 5: Solve for x
    x = 203,616,841,334.64/432,024.40
  6. Step 6: Final answer
    x = 471,308.66

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1.5x scale

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.