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Finding the Fourth Proportional to 1,354,928.23, 1,869,666.21 and 782,152.93

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Solution

The fourth proportional to 1,354,928.23, 1,869,666.21 and 782,152.93 is: 1,079,293.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354,928.23 : 1,869,666.21 = 782,152.93 : x
  2. Step 2: Convert to fraction form
    1,354,928.23/1,869,666.21 = 782,152.93/x
  3. Step 3: Cross multiply
    1,354,928.23x = 1,869,666.21 × 782,152.93
  4. Step 4: Simplify right side
    1,354,928.23x = 1,462,364,904,273.50
  5. Step 5: Solve for x
    x = 1,462,364,904,273.50/1,354,928.23
  6. Step 6: Final answer
    x = 1,079,293.26

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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.