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Finding the Fourth Proportional to 510,420.36, 704,420.78 and 295,564.22

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Solution

The fourth proportional to 510,420.36, 704,420.78 and 295,564.22 is: 407,902.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,420.36 : 704,420.78 = 295,564.22 : x
  2. Step 2: Convert to fraction form
    510,420.36/704,420.78 = 295,564.22/x
  3. Step 3: Cross multiply
    510,420.36x = 704,420.78 × 295,564.22
  4. Step 4: Simplify right side
    510,420.36x = 208,201,573,392.57
  5. Step 5: Solve for x
    x = 208,201,573,392.57/510,420.36
  6. Step 6: Final answer
    x = 407,902.17

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1.5x scale

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.