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Finding the Fourth Proportional to 517,717.48, 714,278.88 and 302,705.32

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Solution

The fourth proportional to 517,717.48, 714,278.88 and 302,705.32 is: 417,633.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,717.48 : 714,278.88 = 302,705.32 : x
  2. Step 2: Convert to fraction form
    517,717.48/714,278.88 = 302,705.32/x
  3. Step 3: Cross multiply
    517,717.48x = 714,278.88 × 302,705.32
  4. Step 4: Simplify right side
    517,717.48x = 216,216,016,939.64
  5. Step 5: Solve for x
    x = 216,216,016,939.64/517,717.48
  6. Step 6: Final answer
    x = 417,633.22

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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.