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Finding the Fourth Proportional to 514,961.50, 710,690.61 and 288,650.74

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Solution

The fourth proportional to 514,961.50, 710,690.61 and 288,650.74 is: 398,362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,961.50 : 710,690.61 = 288,650.74 : x
  2. Step 2: Convert to fraction form
    514,961.50/710,690.61 = 288,650.74/x
  3. Step 3: Cross multiply
    514,961.50x = 710,690.61 × 288,650.74
  4. Step 4: Simplify right side
    514,961.50x = 205,141,370,487.55
  5. Step 5: Solve for x
    x = 205,141,370,487.55/514,961.50
  6. Step 6: Final answer
    x = 398,362.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.