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Finding the Fourth Proportional to 438,159.86, 604,282.07 and 285,142.98

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Solution

The fourth proportional to 438,159.86, 604,282.07 and 285,142.98 is: 393,250.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,159.86 : 604,282.07 = 285,142.98 : x
  2. Step 2: Convert to fraction form
    438,159.86/604,282.07 = 285,142.98/x
  3. Step 3: Cross multiply
    438,159.86x = 604,282.07 × 285,142.98
  4. Step 4: Simplify right side
    438,159.86x = 172,306,793,179.28
  5. Step 5: Solve for x
    x = 172,306,793,179.28/438,159.86
  6. Step 6: Final answer
    x = 393,250.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.