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Finding the Fourth Proportional to 9,779,978.40, 14,669,967.60 and 9,365,323.20

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Solution

The fourth proportional to 9,779,978.40, 14,669,967.60 and 9,365,323.20 is: 14,047,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779,978.40 : 14,669,967.60 = 9,365,323.20 : x
  2. Step 2: Convert to fraction form
    9,779,978.40/14,669,967.60 = 9,365,323.20/x
  3. Step 3: Cross multiply
    9,779,978.40x = 14,669,967.60 × 9,365,323.20
  4. Step 4: Simplify right side
    9,779,978.40x = 137,388,987,907,528.31
  5. Step 5: Solve for x
    x = 137,388,987,907,528.31/9,779,978.40
  6. Step 6: Final answer
    x = 14,047,984.80

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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.