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Finding the Fourth Proportional to 514,958, 772,438.08 and 219,470

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Solution

The fourth proportional to 514,958, 772,438.08 and 219,470 is: 329,205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,958 : 772,438.08 = 219,470 : x
  2. Step 2: Convert to fraction form
    514,958/772,438.08 = 219,470/x
  3. Step 3: Cross multiply
    514,958x = 772,438.08 × 219,470
  4. Step 4: Simplify right side
    514,958x = 169,526,985,417.60
  5. Step 5: Solve for x
    x = 169,526,985,417.60/514,958
  6. Step 6: Final answer
    x = 329,205.46

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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.