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Finding the Fourth Proportional to 767,821.60, 1,153,114.80 and 742,938.40

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Solution

The fourth proportional to 767,821.60, 1,153,114.80 and 742,938.40 is: 1,115,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,821.60 : 1,153,114.80 = 742,938.40 : x
  2. Step 2: Convert to fraction form
    767,821.60/1,153,114.80 = 742,938.40/x
  3. Step 3: Cross multiply
    767,821.60x = 1,153,114.80 × 742,938.40
  4. Step 4: Simplify right side
    767,821.60x = 856,693,264,528.32
  5. Step 5: Solve for x
    x = 856,693,264,528.32/767,821.60
  6. Step 6: Final answer
    x = 1,115,745.20

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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.