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Finding the Fourth Proportional to 287,292, 430,938 and 90,300

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Solution

The fourth proportional to 287,292, 430,938 and 90,300 is: 135,450

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,292 : 430,938 = 90,300 : x
  2. Step 2: Convert to fraction form
    287,292/430,938 = 90,300/x
  3. Step 3: Cross multiply
    287,292x = 430,938 × 90,300
  4. Step 4: Simplify right side
    287,292x = 38,913,701,400
  5. Step 5: Solve for x
    x = 38,913,701,400/287,292
  6. Step 6: Final answer
    x = 135,450

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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.