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Finding the Fourth Proportional to 423,038.40, 634,137.12 and 212,032.32

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Solution

The fourth proportional to 423,038.40, 634,137.12 and 212,032.32 is: 317,837.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,038.40 : 634,137.12 = 212,032.32 : x
  2. Step 2: Convert to fraction form
    423,038.40/634,137.12 = 212,032.32/x
  3. Step 3: Cross multiply
    423,038.40x = 634,137.12 × 212,032.32
  4. Step 4: Simplify right side
    423,038.40x = 134,457,564,751.72
  5. Step 5: Solve for x
    x = 134,457,564,751.72/423,038.40
  6. Step 6: Final answer
    x = 317,837.73

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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.