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Finding the Fourth Proportional to 506,570.13, 699,068.20 and 280,215.63

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Solution

The fourth proportional to 506,570.13, 699,068.20 and 280,215.63 is: 386,698.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,570.13 : 699,068.20 = 280,215.63 : x
  2. Step 2: Convert to fraction form
    506,570.13/699,068.20 = 280,215.63/x
  3. Step 3: Cross multiply
    506,570.13x = 699,068.20 × 280,215.63
  4. Step 4: Simplify right side
    506,570.13x = 195,889,836,075.97
  5. Step 5: Solve for x
    x = 195,889,836,075.97/506,570.13
  6. Step 6: Final answer
    x = 386,698.36

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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.