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Finding the Fourth Proportional to 614,403.48, 847,880.64 and 342,488.64

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Solution

The fourth proportional to 614,403.48, 847,880.64 and 342,488.64 is: 472,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,403.48 : 847,880.64 = 342,488.64 : x
  2. Step 2: Convert to fraction form
    614,403.48/847,880.64 = 342,488.64/x
  3. Step 3: Cross multiply
    614,403.48x = 847,880.64 × 342,488.64
  4. Step 4: Simplify right side
    614,403.48x = 290,389,487,275.93
  5. Step 5: Solve for x
    x = 290,389,487,275.93/614,403.48
  6. Step 6: Final answer
    x = 472,636.46

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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.