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Finding the Fourth Proportional to 501,398.56, 691,968 and 286,547.68

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Solution

The fourth proportional to 501,398.56, 691,968 and 286,547.68 is: 395,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,398.56 : 691,968 = 286,547.68 : x
  2. Step 2: Convert to fraction form
    501,398.56/691,968 = 286,547.68/x
  3. Step 3: Cross multiply
    501,398.56x = 691,968 × 286,547.68
  4. Step 4: Simplify right side
    501,398.56x = 198,281,825,034.24
  5. Step 5: Solve for x
    x = 198,281,825,034.24/501,398.56
  6. Step 6: Final answer
    x = 395,457.51

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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.