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Finding the Fourth Proportional to 459,003.80, 688,505.70 and 347,029.40

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Solution

The fourth proportional to 459,003.80, 688,505.70 and 347,029.40 is: 520,544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,003.80 : 688,505.70 = 347,029.40 : x
  2. Step 2: Convert to fraction form
    459,003.80/688,505.70 = 347,029.40/x
  3. Step 3: Cross multiply
    459,003.80x = 688,505.70 × 347,029.40
  4. Step 4: Simplify right side
    459,003.80x = 238,931,719,967.58
  5. Step 5: Solve for x
    x = 238,931,719,967.58/459,003.80
  6. Step 6: Final answer
    x = 520,544.10

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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.