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Finding the Fourth Proportional to 342,938.40, 514,407.60 and 209,968.80

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Solution

The fourth proportional to 342,938.40, 514,407.60 and 209,968.80 is: 314,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,938.40 : 514,407.60 = 209,968.80 : x
  2. Step 2: Convert to fraction form
    342,938.40/514,407.60 = 209,968.80/x
  3. Step 3: Cross multiply
    342,938.40x = 514,407.60 × 209,968.80
  4. Step 4: Simplify right side
    342,938.40x = 108,009,546,482.88
  5. Step 5: Solve for x
    x = 108,009,546,482.88/342,938.40
  6. Step 6: Final answer
    x = 314,953.20

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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.