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Finding the Fourth Proportional to 612,962.10, 917,693.55 and 542,978.10

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Solution

The fourth proportional to 612,962.10, 917,693.55 and 542,978.10 is: 812,917.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,962.10 : 917,693.55 = 542,978.10 : x
  2. Step 2: Convert to fraction form
    612,962.10/917,693.55 = 542,978.10/x
  3. Step 3: Cross multiply
    612,962.10x = 917,693.55 × 542,978.10
  4. Step 4: Simplify right side
    612,962.10x = 498,287,500,161.26
  5. Step 5: Solve for x
    x = 498,287,500,161.26/612,962.10
  6. Step 6: Final answer
    x = 812,917.31

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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.