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Finding the Fourth Proportional to 510,352.77, 704,281.29 and 280,905.15

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Solution

The fourth proportional to 510,352.77, 704,281.29 and 280,905.15 is: 387,646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,352.77 : 704,281.29 = 280,905.15 : x
  2. Step 2: Convert to fraction form
    510,352.77/704,281.29 = 280,905.15/x
  3. Step 3: Cross multiply
    510,352.77x = 704,281.29 × 280,905.15
  4. Step 4: Simplify right side
    510,352.77x = 197,836,241,409.64
  5. Step 5: Solve for x
    x = 197,836,241,409.64/510,352.77
  6. Step 6: Final answer
    x = 387,646.06

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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.