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Finding the Fourth Proportional to 432,077.40, 648,116.10 and 407,145.60

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Solution

The fourth proportional to 432,077.40, 648,116.10 and 407,145.60 is: 610,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,077.40 : 648,116.10 = 407,145.60 : x
  2. Step 2: Convert to fraction form
    432,077.40/648,116.10 = 407,145.60/x
  3. Step 3: Cross multiply
    432,077.40x = 648,116.10 × 407,145.60
  4. Step 4: Simplify right side
    432,077.40x = 263,877,618,404.16
  5. Step 5: Solve for x
    x = 263,877,618,404.16/432,077.40
  6. Step 6: Final answer
    x = 610,718.40

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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.