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Finding the Fourth Proportional to 314,012, 470,902.80 and 103,587.68

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Solution

The fourth proportional to 314,012, 470,902.80 and 103,587.68 is: 155,343.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,012 : 470,902.80 = 103,587.68 : x
  2. Step 2: Convert to fraction form
    314,012/470,902.80 = 103,587.68/x
  3. Step 3: Cross multiply
    314,012x = 470,902.80 × 103,587.68
  4. Step 4: Simplify right side
    314,012x = 48,779,728,557.50
  5. Step 5: Solve for x
    x = 48,779,728,557.50/314,012
  6. Step 6: Final answer
    x = 155,343.52

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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.