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Finding the Fourth Proportional to 459,745.40, 689,618.10 and 207,146.90

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Solution

The fourth proportional to 459,745.40, 689,618.10 and 207,146.90 is: 310,720.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,745.40 : 689,618.10 = 207,146.90 : x
  2. Step 2: Convert to fraction form
    459,745.40/689,618.10 = 207,146.90/x
  3. Step 3: Cross multiply
    459,745.40x = 689,618.10 × 207,146.90
  4. Step 4: Simplify right side
    459,745.40x = 142,852,251,598.89
  5. Step 5: Solve for x
    x = 142,852,251,598.89/459,745.40
  6. Step 6: Final answer
    x = 310,720.35

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Similar ratio
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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.