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Finding the Fourth Proportional to 517,248.90, 713,664 and 302,441.76

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Solution

The fourth proportional to 517,248.90, 713,664 and 302,441.76 is: 417,288.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,248.90 : 713,664 = 302,441.76 : x
  2. Step 2: Convert to fraction form
    517,248.90/713,664 = 302,441.76/x
  3. Step 3: Cross multiply
    517,248.90x = 713,664 × 302,441.76
  4. Step 4: Simplify right side
    517,248.90x = 215,841,796,208.64
  5. Step 5: Solve for x
    x = 215,841,796,208.64/517,248.90
  6. Step 6: Final answer
    x = 417,288.07

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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.