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Finding the Fourth Proportional to 432,021.60, 648,032.40 and 384,782.40

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Solution

The fourth proportional to 432,021.60, 648,032.40 and 384,782.40 is: 577,173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,021.60 : 648,032.40 = 384,782.40 : x
  2. Step 2: Convert to fraction form
    432,021.60/648,032.40 = 384,782.40/x
  3. Step 3: Cross multiply
    432,021.60x = 648,032.40 × 384,782.40
  4. Step 4: Simplify right side
    432,021.60x = 249,351,462,149.76
  5. Step 5: Solve for x
    x = 249,351,462,149.76/432,021.60
  6. Step 6: Final answer
    x = 577,173.60

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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.