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Finding the Fourth Proportional to 287,007.78, 430,518.75 and 137,263.89

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Solution

The fourth proportional to 287,007.78, 430,518.75 and 137,263.89 is: 205,899.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,007.78 : 430,518.75 = 137,263.89 : x
  2. Step 2: Convert to fraction form
    287,007.78/430,518.75 = 137,263.89/x
  3. Step 3: Cross multiply
    287,007.78x = 430,518.75 × 137,263.89
  4. Step 4: Simplify right side
    287,007.78x = 59,094,678,342.94
  5. Step 5: Solve for x
    x = 59,094,678,342.94/287,007.78
  6. Step 6: Final answer
    x = 205,899.22

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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.