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Finding the Fourth Proportional to 517,320.63, 713,964.62 and 313,365.56

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Solution

The fourth proportional to 517,320.63, 713,964.62 and 313,365.56 is: 432,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,320.63 : 713,964.62 = 313,365.56 : x
  2. Step 2: Convert to fraction form
    517,320.63/713,964.62 = 313,365.56/x
  3. Step 3: Cross multiply
    517,320.63x = 713,964.62 × 313,365.56
  4. Step 4: Simplify right side
    517,320.63x = 223,731,925,534.81
  5. Step 5: Solve for x
    x = 223,731,925,534.81/517,320.63
  6. Step 6: Final answer
    x = 432,482.13

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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.