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Finding the Fourth Proportional to 571,416.16, 788,537.12 and 313,287.76

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Solution

The fourth proportional to 571,416.16, 788,537.12 and 313,287.76 is: 432,327.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,416.16 : 788,537.12 = 313,287.76 : x
  2. Step 2: Convert to fraction form
    571,416.16/788,537.12 = 313,287.76/x
  3. Step 3: Cross multiply
    571,416.16x = 788,537.12 × 313,287.76
  4. Step 4: Simplify right side
    571,416.16x = 247,039,028,001.65
  5. Step 5: Solve for x
    x = 247,039,028,001.65/571,416.16
  6. Step 6: Final answer
    x = 432,327.69

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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.