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Finding the Fourth Proportional to 510,429, 704,432.70 and 295,572.84

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Solution

The fourth proportional to 510,429, 704,432.70 and 295,572.84 is: 407,914.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,429 : 704,432.70 = 295,572.84 : x
  2. Step 2: Convert to fraction form
    510,429/704,432.70 = 295,572.84/x
  3. Step 3: Cross multiply
    510,429x = 704,432.70 × 295,572.84
  4. Step 4: Simplify right side
    510,429x = 208,211,173,727.87
  5. Step 5: Solve for x
    x = 208,211,173,727.87/510,429
  6. Step 6: Final answer
    x = 407,914.08

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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.