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Finding the Fourth Proportional to 310,888.50, 429,026.13 and 176,752.50

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Solution

The fourth proportional to 310,888.50, 429,026.13 and 176,752.50 is: 243,918.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,888.50 : 429,026.13 = 176,752.50 : x
  2. Step 2: Convert to fraction form
    310,888.50/429,026.13 = 176,752.50/x
  3. Step 3: Cross multiply
    310,888.50x = 429,026.13 × 176,752.50
  4. Step 4: Simplify right side
    310,888.50x = 75,831,441,042.83
  5. Step 5: Solve for x
    x = 75,831,441,042.83/310,888.50
  6. Step 6: Final answer
    x = 243,918.45

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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.