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Finding the Fourth Proportional to 711,816.64, 982,209.84 and 425,275.84

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Solution

The fourth proportional to 711,816.64, 982,209.84 and 425,275.84 is: 586,822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,816.64 : 982,209.84 = 425,275.84 : x
  2. Step 2: Convert to fraction form
    711,816.64/982,209.84 = 425,275.84/x
  3. Step 3: Cross multiply
    711,816.64x = 982,209.84 × 425,275.84
  4. Step 4: Simplify right side
    711,816.64x = 417,710,114,762.27
  5. Step 5: Solve for x
    x = 417,710,114,762.27/711,816.64
  6. Step 6: Final answer
    x = 586,822.63

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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.