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Finding the Fourth Proportional to 493,931.16, 740,810.64 and 138,860.78

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Solution

The fourth proportional to 493,931.16, 740,810.64 and 138,860.78 is: 208,266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,931.16 : 740,810.64 = 138,860.78 : x
  2. Step 2: Convert to fraction form
    493,931.16/740,810.64 = 138,860.78/x
  3. Step 3: Cross multiply
    493,931.16x = 740,810.64 × 138,860.78
  4. Step 4: Simplify right side
    493,931.16x = 102,869,543,302.70
  5. Step 5: Solve for x
    x = 102,869,543,302.70/493,931.16
  6. Step 6: Final answer
    x = 208,266.96

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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.