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Finding the Fourth Proportional to 499,872.35, 689,820.93 and 270,429

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Solution

The fourth proportional to 499,872.35, 689,820.93 and 270,429 is: 373,190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,872.35 : 689,820.93 = 270,429 : x
  2. Step 2: Convert to fraction form
    499,872.35/689,820.93 = 270,429/x
  3. Step 3: Cross multiply
    499,872.35x = 689,820.93 × 270,429
  4. Step 4: Simplify right side
    499,872.35x = 186,547,584,278.97
  5. Step 5: Solve for x
    x = 186,547,584,278.97/499,872.35
  6. Step 6: Final answer
    x = 373,190.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.