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Finding the Fourth Proportional to 385,620.40, 578,430.60 and 326,717.20

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Solution

The fourth proportional to 385,620.40, 578,430.60 and 326,717.20 is: 490,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,620.40 : 578,430.60 = 326,717.20 : x
  2. Step 2: Convert to fraction form
    385,620.40/578,430.60 = 326,717.20/x
  3. Step 3: Cross multiply
    385,620.40x = 578,430.60 × 326,717.20
  4. Step 4: Simplify right side
    385,620.40x = 188,983,226,026.32
  5. Step 5: Solve for x
    x = 188,983,226,026.32/385,620.40
  6. Step 6: Final answer
    x = 490,075.80

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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.