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Finding the Fourth Proportional to 287,464.36, 430,875.76 and 127,572.78

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Solution

The fourth proportional to 287,464.36, 430,875.76 and 127,572.78 is: 191,216.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,464.36 : 430,875.76 = 127,572.78 : x
  2. Step 2: Convert to fraction form
    287,464.36/430,875.76 = 127,572.78/x
  3. Step 3: Cross multiply
    287,464.36x = 430,875.76 × 127,572.78
  4. Step 4: Simplify right side
    287,464.36x = 54,968,018,537.81
  5. Step 5: Solve for x
    x = 54,968,018,537.81/287,464.36
  6. Step 6: Final answer
    x = 191,216.81

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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.