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Finding the Fourth Proportional to 287,570.59, 430,879.10 and 174,909.98

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Solution

The fourth proportional to 287,570.59, 430,879.10 and 174,909.98 is: 262,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,570.59 : 430,879.10 = 174,909.98 : x
  2. Step 2: Convert to fraction form
    287,570.59/430,879.10 = 174,909.98/x
  3. Step 3: Cross multiply
    287,570.59x = 430,879.10 × 174,909.98
  4. Step 4: Simplify right side
    287,570.59x = 75,365,054,966.07
  5. Step 5: Solve for x
    x = 75,365,054,966.07/287,570.59
  6. Step 6: Final answer
    x = 262,074.98

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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.