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Finding the Fourth Proportional to 287,140, 430,729.77 and 97,522.96

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Solution

The fourth proportional to 287,140, 430,729.77 and 97,522.96 is: 146,291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,140 : 430,729.77 = 97,522.96 : x
  2. Step 2: Convert to fraction form
    287,140/430,729.77 = 97,522.96/x
  3. Step 3: Cross multiply
    287,140x = 430,729.77 × 97,522.96
  4. Step 4: Simplify right side
    287,140x = 42,006,042,130.52
  5. Step 5: Solve for x
    x = 42,006,042,130.52/287,140
  6. Step 6: Final answer
    x = 146,291.15

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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.