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Finding the Fourth Proportional to 432,024.80, 648,037.20 and 417,509.60

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Solution

The fourth proportional to 432,024.80, 648,037.20 and 417,509.60 is: 626,264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,024.80 : 648,037.20 = 417,509.60 : x
  2. Step 2: Convert to fraction form
    432,024.80/648,037.20 = 417,509.60/x
  3. Step 3: Cross multiply
    432,024.80x = 648,037.20 × 417,509.60
  4. Step 4: Simplify right side
    432,024.80x = 270,561,752,157.12
  5. Step 5: Solve for x
    x = 270,561,752,157.12/432,024.80
  6. Step 6: Final answer
    x = 626,264.40

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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.