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Finding the Fourth Proportional to 310,873.50, 429,005.43 and 176,737.50

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Solution

The fourth proportional to 310,873.50, 429,005.43 and 176,737.50 is: 243,897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,873.50 : 429,005.43 = 176,737.50 : x
  2. Step 2: Convert to fraction form
    310,873.50/429,005.43 = 176,737.50/x
  3. Step 3: Cross multiply
    310,873.50x = 429,005.43 × 176,737.50
  4. Step 4: Simplify right side
    310,873.50x = 75,821,347,184.63
  5. Step 5: Solve for x
    x = 75,821,347,184.63/310,873.50
  6. Step 6: Final answer
    x = 243,897.75

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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.