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Finding the Fourth Proportional to 287,159.76, 430,715.01 and 174,810.81

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Solution

The fourth proportional to 287,159.76, 430,715.01 and 174,810.81 is: 262,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,159.76 : 430,715.01 = 174,810.81 : x
  2. Step 2: Convert to fraction form
    287,159.76/430,715.01 = 174,810.81/x
  3. Step 3: Cross multiply
    287,159.76x = 430,715.01 × 174,810.81
  4. Step 4: Simplify right side
    287,159.76x = 75,293,639,777.26
  5. Step 5: Solve for x
    x = 75,293,639,777.26/287,159.76
  6. Step 6: Final answer
    x = 262,201.22

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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.