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Finding the Fourth Proportional to 514,939, 710,659.56 and 288,628.24

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Solution

The fourth proportional to 514,939, 710,659.56 and 288,628.24 is: 398,331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,939 : 710,659.56 = 288,628.24 : x
  2. Step 2: Convert to fraction form
    514,939/710,659.56 = 288,628.24/x
  3. Step 3: Cross multiply
    514,939x = 710,659.56 × 288,628.24
  4. Step 4: Simplify right side
    514,939x = 205,116,418,041.97
  5. Step 5: Solve for x
    x = 205,116,418,041.97/514,939
  6. Step 6: Final answer
    x = 398,331.49

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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.