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Finding the Fourth Proportional to 459,927, 689,890.50 and 127,503

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Solution

The fourth proportional to 459,927, 689,890.50 and 127,503 is: 191,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,927 : 689,890.50 = 127,503 : x
  2. Step 2: Convert to fraction form
    459,927/689,890.50 = 127,503/x
  3. Step 3: Cross multiply
    459,927x = 689,890.50 × 127,503
  4. Step 4: Simplify right side
    459,927x = 87,963,108,421.50
  5. Step 5: Solve for x
    x = 87,963,108,421.50/459,927
  6. Step 6: Final answer
    x = 191,254.50

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1.5x scale

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.