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Finding the Fourth Proportional to 287,012.76, 430,509.48 and 154,152.51

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Solution

The fourth proportional to 287,012.76, 430,509.48 and 154,152.51 is: 231,223.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,012.76 : 430,509.48 = 154,152.51 : x
  2. Step 2: Convert to fraction form
    287,012.76/430,509.48 = 154,152.51/x
  3. Step 3: Cross multiply
    287,012.76x = 430,509.48 × 154,152.51
  4. Step 4: Simplify right side
    287,012.76x = 66,364,116,920.79
  5. Step 5: Solve for x
    x = 66,364,116,920.79/287,012.76
  6. Step 6: Final answer
    x = 231,223.58

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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.