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Finding the Fourth Proportional to 1,354,243.68, 1,869,451.56 and 947,941.20

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Solution

The fourth proportional to 1,354,243.68, 1,869,451.56 and 947,941.20 is: 1,308,575.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354,243.68 : 1,869,451.56 = 947,941.20 : x
  2. Step 2: Convert to fraction form
    1,354,243.68/1,869,451.56 = 947,941.20/x
  3. Step 3: Cross multiply
    1,354,243.68x = 1,869,451.56 × 947,941.20
  4. Step 4: Simplify right side
    1,354,243.68x = 1,772,130,155,128.27
  5. Step 5: Solve for x
    x = 1,772,130,155,128.27/1,354,243.68
  6. Step 6: Final answer
    x = 1,308,575.54

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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.