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Finding the Fourth Proportional to 509,541.51, 703,176.08 and 280,108.47

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Solution

The fourth proportional to 509,541.51, 703,176.08 and 280,108.47 is: 386,554.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,541.51 : 703,176.08 = 280,108.47 : x
  2. Step 2: Convert to fraction form
    509,541.51/703,176.08 = 280,108.47/x
  3. Step 3: Cross multiply
    509,541.51x = 703,176.08 × 280,108.47
  4. Step 4: Simplify right side
    509,541.51x = 196,965,575,909.40
  5. Step 5: Solve for x
    x = 196,965,575,909.40/509,541.51
  6. Step 6: Final answer
    x = 386,554.52

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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.