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Finding the Fourth Proportional to 458,319.20, 687,478.80 and 432,075.20

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Solution

The fourth proportional to 458,319.20, 687,478.80 and 432,075.20 is: 648,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,319.20 : 687,478.80 = 432,075.20 : x
  2. Step 2: Convert to fraction form
    458,319.20/687,478.80 = 432,075.20/x
  3. Step 3: Cross multiply
    458,319.20x = 687,478.80 × 432,075.20
  4. Step 4: Simplify right side
    458,319.20x = 297,042,540,005.76
  5. Step 5: Solve for x
    x = 297,042,540,005.76/458,319.20
  6. Step 6: Final answer
    x = 648,112.80

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Similar ratio
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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.