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Finding the Fourth Proportional to 287,460.16, 430,880.65 and 137,381.40

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Solution

The fourth proportional to 287,460.16, 430,880.65 and 137,381.40 is: 205,924.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,460.16 : 430,880.65 = 137,381.40 : x
  2. Step 2: Convert to fraction form
    287,460.16/430,880.65 = 137,381.40/x
  3. Step 3: Cross multiply
    287,460.16x = 430,880.65 × 137,381.40
  4. Step 4: Simplify right side
    287,460.16x = 59,194,986,586.46
  5. Step 5: Solve for x
    x = 59,194,986,586.46/287,460.16
  6. Step 6: Final answer
    x = 205,924.14

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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.