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Finding the Fourth Proportional to 711,505, 982,110.18 and 510,884.20

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Solution

The fourth proportional to 711,505, 982,110.18 and 510,884.20 is: 705,187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,505 : 982,110.18 = 510,884.20 : x
  2. Step 2: Convert to fraction form
    711,505/982,110.18 = 510,884.20/x
  3. Step 3: Cross multiply
    711,505x = 982,110.18 × 510,884.20
  4. Step 4: Simplify right side
    711,505x = 501,744,573,621.16
  5. Step 5: Solve for x
    x = 501,744,573,621.16/711,505
  6. Step 6: Final answer
    x = 705,187.70

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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.