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Finding the Fourth Proportional to 338,905, 508,357.50 and 117,289

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Solution

The fourth proportional to 338,905, 508,357.50 and 117,289 is: 175,933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,905 : 508,357.50 = 117,289 : x
  2. Step 2: Convert to fraction form
    338,905/508,357.50 = 117,289/x
  3. Step 3: Cross multiply
    338,905x = 508,357.50 × 117,289
  4. Step 4: Simplify right side
    338,905x = 59,624,742,817.50
  5. Step 5: Solve for x
    x = 59,624,742,817.50/338,905
  6. Step 6: Final answer
    x = 175,933.50

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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.