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Finding the Fourth Proportional to 287,008.77, 430,234.04 and 137,210.25

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Solution

The fourth proportional to 287,008.77, 430,234.04 and 137,210.25 is: 205,681.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,008.77 : 430,234.04 = 137,210.25 : x
  2. Step 2: Convert to fraction form
    287,008.77/430,234.04 = 137,210.25/x
  3. Step 3: Cross multiply
    287,008.77x = 430,234.04 × 137,210.25
  4. Step 4: Simplify right side
    287,008.77x = 59,032,519,500.86
  5. Step 5: Solve for x
    x = 59,032,519,500.86/287,008.77
  6. Step 6: Final answer
    x = 205,681.94

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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.