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Finding the Fourth Proportional to 510,352.98, 704,281.53 and 280,905.35

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Solution

The fourth proportional to 510,352.98, 704,281.53 and 280,905.35 is: 387,646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,352.98 : 704,281.53 = 280,905.35 : x
  2. Step 2: Convert to fraction form
    510,352.98/704,281.53 = 280,905.35/x
  3. Step 3: Cross multiply
    510,352.98x = 704,281.53 × 280,905.35
  4. Step 4: Simplify right side
    510,352.98x = 197,836,447,215.17
  5. Step 5: Solve for x
    x = 197,836,447,215.17/510,352.98
  6. Step 6: Final answer
    x = 387,646.31

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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.