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Finding the Fourth Proportional to 459,856.76, 689,534.94 and 160,256.90

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Solution

The fourth proportional to 459,856.76, 689,534.94 and 160,256.90 is: 240,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,856.76 : 689,534.94 = 160,256.90 : x
  2. Step 2: Convert to fraction form
    459,856.76/689,534.94 = 160,256.90/x
  3. Step 3: Cross multiply
    459,856.76x = 689,534.94 × 160,256.90
  4. Step 4: Simplify right side
    459,856.76x = 110,502,728,478.41
  5. Step 5: Solve for x
    x = 110,502,728,478.41/459,856.76
  6. Step 6: Final answer
    x = 240,298.15

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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.