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Finding the Fourth Proportional to 287,231.54, 430,547.81 and 160,686.25

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Solution

The fourth proportional to 287,231.54, 430,547.81 and 160,686.25 is: 240,861.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,231.54 : 430,547.81 = 160,686.25 : x
  2. Step 2: Convert to fraction form
    287,231.54/430,547.81 = 160,686.25/x
  3. Step 3: Cross multiply
    287,231.54x = 430,547.81 × 160,686.25
  4. Step 4: Simplify right side
    287,231.54x = 69,183,111,154.81
  5. Step 5: Solve for x
    x = 69,183,111,154.81/287,231.54
  6. Step 6: Final answer
    x = 240,861.82

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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.