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Finding the Fourth Proportional to 286,894.58, 430,051.26 and 144,309.02

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Solution

The fourth proportional to 286,894.58, 430,051.26 and 144,309.02 is: 216,317.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,894.58 : 430,051.26 = 144,309.02 : x
  2. Step 2: Convert to fraction form
    286,894.58/430,051.26 = 144,309.02/x
  3. Step 3: Cross multiply
    286,894.58x = 430,051.26 × 144,309.02
  4. Step 4: Simplify right side
    286,894.58x = 62,060,275,880.37
  5. Step 5: Solve for x
    x = 62,060,275,880.37/286,894.58
  6. Step 6: Final answer
    x = 216,317.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.