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Finding the Fourth Proportional to 406,428.81, 560,757.51 and 243,065.58

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Solution

The fourth proportional to 406,428.81, 560,757.51 and 243,065.58 is: 335,362.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,428.81 : 560,757.51 = 243,065.58 : x
  2. Step 2: Convert to fraction form
    406,428.81/560,757.51 = 243,065.58/x
  3. Step 3: Cross multiply
    406,428.81x = 560,757.51 × 243,065.58
  4. Step 4: Simplify right side
    406,428.81x = 136,300,849,407.51
  5. Step 5: Solve for x
    x = 136,300,849,407.51/406,428.81
  6. Step 6: Final answer
    x = 335,362.17

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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.