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Finding the Fourth Proportional to 286,068.71, 394,779.85 and 157,019.27

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Solution

The fourth proportional to 286,068.71, 394,779.85 and 157,019.27 is: 216,689.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,068.71 : 394,779.85 = 157,019.27 : x
  2. Step 2: Convert to fraction form
    286,068.71/394,779.85 = 157,019.27/x
  3. Step 3: Cross multiply
    286,068.71x = 394,779.85 × 157,019.27
  4. Step 4: Simplify right side
    286,068.71x = 61,988,041,491.26
  5. Step 5: Solve for x
    x = 61,988,041,491.26/286,068.71
  6. Step 6: Final answer
    x = 216,689.34

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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.