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Finding the Fourth Proportional to 402,354.40, 603,531.60 and 212,555.20

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Solution

The fourth proportional to 402,354.40, 603,531.60 and 212,555.20 is: 318,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,354.40 : 603,531.60 = 212,555.20 : x
  2. Step 2: Convert to fraction form
    402,354.40/603,531.60 = 212,555.20/x
  3. Step 3: Cross multiply
    402,354.40x = 603,531.60 × 212,555.20
  4. Step 4: Simplify right side
    402,354.40x = 128,283,779,944.32
  5. Step 5: Solve for x
    x = 128,283,779,944.32/402,354.40
  6. Step 6: Final answer
    x = 318,832.80

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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.