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Finding the Fourth Proportional to 287,052.81, 430,296.90 and 137,258.06

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Solution

The fourth proportional to 287,052.81, 430,296.90 and 137,258.06 is: 205,752.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,052.81 : 430,296.90 = 137,258.06 : x
  2. Step 2: Convert to fraction form
    287,052.81/430,296.90 = 137,258.06/x
  3. Step 3: Cross multiply
    287,052.81x = 430,296.90 × 137,258.06
  4. Step 4: Simplify right side
    287,052.81x = 59,061,717,718.01
  5. Step 5: Solve for x
    x = 59,061,717,718.01/287,052.81
  6. Step 6: Final answer
    x = 205,752.10

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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.