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Finding the Fourth Proportional to 747,090, 1,030,984.20 and 478,818

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Solution

The fourth proportional to 747,090, 1,030,984.20 and 478,818 is: 660,768.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,090 : 1,030,984.20 = 478,818 : x
  2. Step 2: Convert to fraction form
    747,090/1,030,984.20 = 478,818/x
  3. Step 3: Cross multiply
    747,090x = 1,030,984.20 × 478,818
  4. Step 4: Simplify right side
    747,090x = 493,653,792,675.60
  5. Step 5: Solve for x
    x = 493,653,792,675.60/747,090
  6. Step 6: Final answer
    x = 660,768.84

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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.