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Finding the Fourth Proportional to 459,985, 689,977.50 and 127,561

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Solution

The fourth proportional to 459,985, 689,977.50 and 127,561 is: 191,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,985 : 689,977.50 = 127,561 : x
  2. Step 2: Convert to fraction form
    459,985/689,977.50 = 127,561/x
  3. Step 3: Cross multiply
    459,985x = 689,977.50 × 127,561
  4. Step 4: Simplify right side
    459,985x = 88,014,219,877.50
  5. Step 5: Solve for x
    x = 88,014,219,877.50/459,985
  6. Step 6: Final answer
    x = 191,341.50

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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.