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Finding the Fourth Proportional to 557,254.19, 769,013.79 and 315,583.81

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Solution

The fourth proportional to 557,254.19, 769,013.79 and 315,583.81 is: 435,507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,254.19 : 769,013.79 = 315,583.81 : x
  2. Step 2: Convert to fraction form
    557,254.19/769,013.79 = 315,583.81/x
  3. Step 3: Cross multiply
    557,254.19x = 769,013.79 × 315,583.81
  4. Step 4: Simplify right side
    557,254.19x = 242,688,301,790.74
  5. Step 5: Solve for x
    x = 242,688,301,790.74/557,254.19
  6. Step 6: Final answer
    x = 435,507.36

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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.