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Finding the Fourth Proportional to 501,538.76, 692,123.42 and 286,683.44

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Solution

The fourth proportional to 501,538.76, 692,123.42 and 286,683.44 is: 395,623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,538.76 : 692,123.42 = 286,683.44 : x
  2. Step 2: Convert to fraction form
    501,538.76/692,123.42 = 286,683.44/x
  3. Step 3: Cross multiply
    501,538.76x = 692,123.42 × 286,683.44
  4. Step 4: Simplify right side
    501,538.76x = 198,420,322,950.17
  5. Step 5: Solve for x
    x = 198,420,322,950.17/501,538.76
  6. Step 6: Final answer
    x = 395,623.11

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Double scale
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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.