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Finding the Fourth Proportional to 459,008.30, 688,512.45 and 425,830.70

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Solution

The fourth proportional to 459,008.30, 688,512.45 and 425,830.70 is: 638,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,008.30 : 688,512.45 = 425,830.70 : x
  2. Step 2: Convert to fraction form
    459,008.30/688,512.45 = 425,830.70/x
  3. Step 3: Cross multiply
    459,008.30x = 688,512.45 × 425,830.70
  4. Step 4: Simplify right side
    459,008.30x = 293,189,738,542.22
  5. Step 5: Solve for x
    x = 293,189,738,542.22/459,008.30
  6. Step 6: Final answer
    x = 638,746.05

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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.