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Finding the Fourth Proportional to 288,054.56, 432,386.16 and 161,802.72

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Solution

The fourth proportional to 288,054.56, 432,386.16 and 161,802.72 is: 242,875.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,054.56 : 432,386.16 = 161,802.72 : x
  2. Step 2: Convert to fraction form
    288,054.56/432,386.16 = 161,802.72/x
  3. Step 3: Cross multiply
    288,054.56x = 432,386.16 × 161,802.72
  4. Step 4: Simplify right side
    288,054.56x = 69,961,256,778.36
  5. Step 5: Solve for x
    x = 69,961,256,778.36/288,054.56
  6. Step 6: Final answer
    x = 242,875.02

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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.