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Finding the Fourth Proportional to 287,461.35, 430,871.27 and 127,569.78

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Solution

The fourth proportional to 287,461.35, 430,871.27 and 127,569.78 is: 191,212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,461.35 : 430,871.27 = 127,569.78 : x
  2. Step 2: Convert to fraction form
    287,461.35/430,871.27 = 127,569.78/x
  3. Step 3: Cross multiply
    287,461.35x = 430,871.27 × 127,569.78
  4. Step 4: Simplify right side
    287,461.35x = 54,966,152,484.37
  5. Step 5: Solve for x
    x = 54,966,152,484.37/287,461.35
  6. Step 6: Final answer
    x = 191,212.32

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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.